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11488974951168 = 2834114134171
BaseRepresentation
bin1010011100101111110001…
…0001010101001100000000
31111200100001102021212210000
42213023330101111030000
53001213410041414133
640233543501440000
72264023336532331
oct247137421251400
944610042255700
1011488974951168
11372a4a0930000
121356782570000
136545373b6ca0
142ba0d8448288
1514dcc4451413
hexa72fc455300

11488974951168 has 1800 divisors, whose sum is σ = 42157691563680. Its totient is φ = 3091156992000.

The previous prime is 11488974951163. The next prime is 11488974951229. The reversal of 11488974951168 is 86115947988411.

11488974951168 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 8 + 9 + 7 + 49 + 511 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11488974951096 and 11488974951105.

It is not an unprimeable number, because it can be changed into a prime (11488974951161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 161816548573 + ... + 161816548643.

Almost surely, 211488974951168 is an apocalyptic number.

11488974951168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11488974951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078845781840).

11488974951168 is an abundant number, since it is smaller than the sum of its proper divisors (30668716612512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11488974951168 is an frugal number, since it uses more digits than its factorization.

11488974951168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 141 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 72.

It can be divided in two parts, 114889 and 74951168, that added together give a palindrome (75066057).

The spelling of 11488974951168 in words is "eleven trillion, four hundred eighty-eight billion, nine hundred seventy-four million, nine hundred fifty-one thousand, one hundred sixty-eight".