12648628271136 has 96 divisors (see below), whose sum is σ = 39007308207168. Its totient is φ = 3538077834240.

The previous prime is 12648628271107. The next prime is 12648628271173. The reversal of 12648628271136 is 63117282684621.

12648628271136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460673491 + ... + 460700946.

It is an arithmetic number, because the mean of its divisors is an integer number (406326127158).

Almost surely, 2^{12648628271136} is an apocalyptic number.

12648628271136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12648628271136 is an abundant number, since it is smaller than the sum of its proper divisors (26358679936032).

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

12648628271136 is a wasteful number, since it uses less digits than its factorization.

12648628271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921374474 (or 921374466 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 12648628271136 in words is "twelve trillion, six hundred forty-eight billion, six hundred twenty-eight million, two hundred seventy-one thousand, one hundred thirty-six".