12872344460976 has 2880 divisors, whose sum is σ = 52998009053184. Its totient is φ = 2825935257600.

The previous prime is 12872344460929. The next prime is 12872344461037. The reversal of 12872344460976 is 67906444327821.

12872344460976 is a `hidden beast` number, since 1 + 2 + 8 + 72 + 34 + 4 + 460 + 9 + 76 = 666.

12872344460976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 113914552696 + ... + 113914552808.

Almost surely, 2^{12872344460976} is an apocalyptic number.

12872344460976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12872344460976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499004526592).

12872344460976 is an abundant number, since it is smaller than the sum of its proper divisors (40125664592208).

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

12872344460976 is a wasteful number, since it uses less digits than its factorization.

12872344460976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 12872344460976 in words is "twelve trillion, eight hundred seventy-two billion, three hundred forty-four million, four hundred sixty thousand, nine hundred seventy-six".