12561464514600 has 144 divisors (see below), whose sum is σ = 42256015308000. Its totient is φ = 3344131390080.

The previous prime is 12561464514551. The next prime is 12561464514611. The reversal of 12561464514600 is 641546416521.

12561464514600 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 14 + 64 + 514 + 60 + 0 = 666.

It is a super-2 number, since 2×12561464514600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4747002 + ... + 6903401.

It is an arithmetic number, because the mean of its divisors is an integer number (293444550750).

Almost surely, 2^{12561464514600} is an apocalyptic number.

12561464514600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12561464514600 is an abundant number, since it is smaller than the sum of its proper divisors (29694550793400).

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

12561464514600 is a wasteful number, since it uses less digits than its factorization.

12561464514600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651024 (or 11651012 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 12561464514600 in words is "twelve trillion, five hundred sixty-one billion, four hundred sixty-four million, five hundred fourteen thousand, six hundred".