11798145914256 has 480 divisors, whose sum is σ = 36115100985600. Its totient is φ = 3573971251200.

The previous prime is 11798145914239. The next prime is 11798145914279. The reversal of 11798145914256 is 65241954189711.

11798145914256 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 8 + 14 + 591 + 4 + 25 + 6 = 666.

It is a super-2 number, since 2×11798145914256² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11798145914193 and 11798145914202.

It is an unprimeable number.

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, 24028810171 + ... + 24028810661.

It is an arithmetic number, because the mean of its divisors is an integer number (75239793720).

Almost surely, 2^{11798145914256} is an apocalyptic number.

11798145914256 is a gapful number since it is divisible by the number (16) 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 11798145914256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057550492800).

11798145914256 is an abundant number, since it is smaller than the sum of its proper divisors (24316955071344).

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

11798145914256 is a wasteful number, since it uses less digits than its factorization.

11798145914256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 11798145914256 in words is "eleven trillion, seven hundred ninety-eight billion, one hundred forty-five million, nine hundred fourteen thousand, two hundred fifty-six".