11847597904768 has 64 divisors (see below), whose sum is σ = 23838149394000. Its totient is φ = 5864978903040.

The previous prime is 11847597904663. The next prime is 11847597904799. The reversal of 11847597904768 is 86740979574811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11847597904768² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11847597904694 and 11847597904703.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4117828 + ... + 6375868.

Almost surely, 2^{11847597904768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11847597904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919074697000).

11847597904768 is an abundant number, since it is smaller than the sum of its proper divisors (11990551489232).

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

11847597904768 is a wasteful number, since it uses less digits than its factorization.

11847597904768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258463 (or 2258451 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 76.

The spelling of 11847597904768 in words is "eleven trillion, eight hundred forty-seven billion, five hundred ninety-seven million, nine hundred four thousand, seven hundred sixty-eight".