11359045251936 has 144 divisors (see below), whose sum is σ = 35174902417200. Its totient is φ = 3463374910464.

The previous prime is 11359045251899. The next prime is 11359045251943. The reversal of 11359045251936 is 63915254095311.

11359045251936 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 90 + 4 + 5 + 2 + 519 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35631811 + ... + 35949186.

It is an arithmetic number, because the mean of its divisors is an integer number (244270155675).

Almost surely, 2^{11359045251936} is an apocalyptic number.

11359045251936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11359045251936 is an abundant number, since it is smaller than the sum of its proper divisors (23815857165264).

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

11359045251936 is a wasteful number, since it uses less digits than its factorization.

11359045251936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71581061 (or 71581050 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 11359045251936 in words is "eleven trillion, three hundred fifty-nine billion, forty-five million, two hundred fifty-one thousand, nine hundred thirty-six".