11536625664 has 208 divisors, whose sum is σ = 34670864800. Its totient is φ = 3790209024.

The previous prime is 11536625647. The next prime is 11536625689. The reversal of 11536625664 is 46652663511.

11536625664 is a `hidden beast` number, since 1 + 1 + 536 + 6 + 2 + 56 + 64 = 666.

It is a super-2 number, since 2×11536625664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8072502 + ... + 8073930.

It is an arithmetic number, because the mean of its divisors is an integer number (166686850).

Almost surely, 2^11536625664 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 11536625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17335432400).

11536625664 is an abundant number, since it is smaller than the sum of its proper divisors (23134239136).

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

11536625664 is an equidigital number, since it uses as much as digits as its factorization.

11536625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1507 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 11536625664 in words is "eleven billion, five hundred thirty-six million, six hundred twenty-five thousand, six hundred sixty-four".