11362738459968 has 672 divisors, whose sum is σ = 39479451648000. Its totient is φ = 3238990530048.

The previous prime is 11362738459967. The next prime is 11362738459973. The reversal of 11362738459968 is 86995483726311.

11362738459968 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 27 + 3 + 8 + 4 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×11362738459968³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 11362738459896 and 11362738459905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11362738459967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2555144721 + ... + 2555149167.

It is an arithmetic number, because the mean of its divisors is an integer number (58749184000).

Almost surely, 2^{11362738459968} is an apocalyptic number.

11362738459968 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 11362738459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739725824000).

11362738459968 is an abundant number, since it is smaller than the sum of its proper divisors (28116713188032).

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

11362738459968 is an frugal number, since it uses more digits than its factorization.

11362738459968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4938 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 11362738459968 in words is "eleven trillion, three hundred sixty-two billion, seven hundred thirty-eight million, four hundred fifty-nine thousand, nine hundred sixty-eight".