12476968467264 has 252 divisors, whose sum is σ = 43142641948224. Its totient is φ = 3564847915776.

The previous prime is 12476968467247. The next prime is 12476968467329. The reversal of 12476968467264 is 46276486967421.

12476968467264 is a `hidden beast` number, since 1 + 2 + 4 + 76 + 96 + 8 + 467 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12476968467192 and 12476968467201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7424424 + ... + 8948519.

It is an arithmetic number, because the mean of its divisors is an integer number (171200960112).

Almost surely, 2^{12476968467264} is an apocalyptic number.

12476968467264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12476968467264 is an abundant number, since it is smaller than the sum of its proper divisors (30665673480960).

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

12476968467264 is an equidigital number, since it uses as much as digits as its factorization.

12476968467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16372984 (or 16372955 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 12476968467264 in words is "twelve trillion, four hundred seventy-six billion, nine hundred sixty-eight million, four hundred sixty-seven thousand, two hundred sixty-four".