11456651616552 has 24 divisors (see below), whose sum is σ = 31028431461690. Its totient is φ = 3818883872160.

The previous prime is 11456651616517. The next prime is 11456651616607. The reversal of 11456651616552 is 25561615665411.

11456651616552 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 65 + 16 + 16 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8219264689476 + 3237386927076 = 2866926^2 + 1799274^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79560080599 + ... + 79560080742.

Almost surely, 2^{11456651616552} is an apocalyptic number.

11456651616552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11456651616552 is an abundant number, since it is smaller than the sum of its proper divisors (19571779845138).

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

11456651616552 is a wasteful number, since it uses less digits than its factorization.

11456651616552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159120161353 (or 159120161346 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The spelling of 11456651616552 in words is "eleven trillion, four hundred fifty-six billion, six hundred fifty-one million, six hundred sixteen thousand, five hundred fifty-two".