11571812964864 has 240 divisors, whose sum is σ = 34030800460800. Its totient is φ = 3784760598528.

The previous prime is 11571812964851. The next prime is 11571812964869. The reversal of 11571812964864 is 46846921817511.

11571812964864 is a `hidden beast` number, since 1 + 1 + 5 + 71 + 81 + 2 + 9 + 6 + 486 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11571812964869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51622177 + ... + 51845855.

It is an arithmetic number, because the mean of its divisors is an integer number (141795001920).

Almost surely, 2^{11571812964864} 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 11571812964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015400230400).

11571812964864 is an abundant number, since it is smaller than the sum of its proper divisors (22458987495936).

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

11571812964864 is a wasteful number, since it uses less digits than its factorization.

11571812964864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223915 (or 223896 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 11571812964864 in words is "eleven trillion, five hundred seventy-one billion, eight hundred twelve million, nine hundred sixty-four thousand, eight hundred sixty-four".