11864264832 has 128 divisors (see below), whose sum is σ = 40018435200. Its totient is φ = 3389783040.

The previous prime is 11864264831. The next prime is 11864264879. The reversal of 11864264832 is 23846246811.

11864264832 is a `hidden beast` number, since 1 + 186 + 426 + 48 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (11864264831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221019 + ... + 269402.

It is an arithmetic number, because the mean of its divisors is an integer number (312644025).

Almost surely, 2^11864264832 is an apocalyptic number.

11864264832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11864264832 is an abundant number, since it is smaller than the sum of its proper divisors (28154170368).

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

11864264832 is an equidigital number, since it uses as much as digits as its factorization.

11864264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490451 (or 490433 counting only the distinct ones).

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

The spelling of 11864264832 in words is "eleven billion, eight hundred sixty-four million, two hundred sixty-four thousand, eight hundred thirty-two".