11648631164800 has 96 divisors (see below), whose sum is σ = 32886581976720. Its totient is φ = 3993816391680.

The previous prime is 11648631164789. The next prime is 11648631164873. The reversal of 11648631164800 is 846113684611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259991689 + ... + 260036488.

Almost surely, 2^{11648631164800} is an apocalyptic number.

11648631164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11648631164800 is an abundant number, since it is smaller than the sum of its proper divisors (21237950811920).

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

11648631164800 is an equidigital number, since it uses as much as digits as its factorization.

11648631164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520028208 (or 520028191 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 11648631164800 in words is "eleven trillion, six hundred forty-eight billion, six hundred thirty-one million, one hundred sixty-four thousand, eight hundred".