11531656556664 has 64 divisors (see below), whose sum is σ = 30366874252800. Its totient is φ = 3639126599424.

The previous prime is 11531656556663. The next prime is 11531656556677. The reversal of 11531656556664 is 46665565613511.

It is a junction number, because it is equal to n+sod(n) for n = 11531656556598 and 11531656556607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531656556663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7825197 + ... + 9181340.

It is an arithmetic number, because the mean of its divisors is an integer number (474482410200).

Almost surely, 2^{11531656556664} is an apocalyptic number.

It is an amenable number.

11531656556664 is an abundant number, since it is smaller than the sum of its proper divisors (18835217696136).

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

11531656556664 is a wasteful number, since it uses less digits than its factorization.

11531656556664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008052 (or 17008048 counting only the distinct ones).

The product of its digits is 58320000, while the sum is 60.

The spelling of 11531656556664 in words is "eleven trillion, five hundred thirty-one billion, six hundred fifty-six million, five hundred fifty-six thousand, six hundred sixty-four".