11531634114624 has 224 divisors, whose sum is σ = 36090912506880. Its totient is φ = 3215297783808.

The previous prime is 11531634114617. The next prime is 11531634114629. The reversal of 11531634114624 is 42641143613511.

It is a super-2 number, since 2×11531634114624² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11531634114629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4195342 + ... + 6376845.

It is an arithmetic number, because the mean of its divisors is an integer number (161120145120).

Almost surely, 2^{11531634114624} is an apocalyptic number.

It is an amenable number.

11531634114624 is an abundant number, since it is smaller than the sum of its proper divisors (24559278392256).

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

11531634114624 is a wasteful number, since it uses less digits than its factorization.

11531634114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10572257 (or 10572247 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 11531634114624 in words is "eleven trillion, five hundred thirty-one billion, six hundred thirty-four million, one hundred fourteen thousand, six hundred twenty-four".