12653456461140 has 144 divisors (see below), whose sum is σ = 39328945326720. Its totient is φ = 3037133088000.

The previous prime is 12653456461127. The next prime is 12653456461141. The reversal of 12653456461140 is 4116465435621.

It is a super-2 number, since 2×12653456461140² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12653456461140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12653456461141) 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 47 ways as a sum of consecutive naturals, for example, 7894960 + ... + 9361479.

It is an arithmetic number, because the mean of its divisors is an integer number (273117675880).

Almost surely, 2^{12653456461140} is an apocalyptic number.

12653456461140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12653456461140 is an abundant number, since it is smaller than the sum of its proper divisors (26675488865580).

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

12653456461140 is a wasteful number, since it uses less digits than its factorization.

12653456461140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256574 (or 17256561 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 12653456461140 in words is "twelve trillion, six hundred fifty-three billion, four hundred fifty-six million, four hundred sixty-one thousand, one hundred forty".