11864382624 has 72 divisors (see below), whose sum is σ = 33751340532. Its totient is φ = 3953387520.

The previous prime is 11864382617. The next prime is 11864382679. The reversal of 11864382624 is 42628346811.

11864382624 is a `hidden beast` number, since 1 + 18 + 6 + 4 + 3 + 8 + 2 + 624 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11265699600 + 598683024 = 106140^2 + 24468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11864382624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1086954 + ... + 1097814.

Almost surely, 2^11864382624 is an apocalyptic number.

It is an amenable number.

11864382624 is an abundant number, since it is smaller than the sum of its proper divisors (21886957908).

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

11864382624 is a wasteful number, since it uses less digits than its factorization.

11864382624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14670 (or 14659 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 11864382624 in words is "eleven billion, eight hundred sixty-four million, three hundred eighty-two thousand, six hundred twenty-four".