12312053892864 has 648 divisors, whose sum is σ = 40378054429440. Its totient is φ = 3715646515200.

The previous prime is 12312053892863. The next prime is 12312053892869. The reversal of 12312053892864 is 46829835021321.

12312053892864 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 20 + 538 + 9 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12312053892864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312053892863) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5006934067 + ... + 5006936525.

Almost surely, 2^{12312053892864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312053892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189027214720).

12312053892864 is an abundant number, since it is smaller than the sum of its proper divisors (28066000536576).

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

12312053892864 is an frugal number, since it uses more digits than its factorization.

12312053892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12312053892864 in words is "twelve trillion, three hundred twelve billion, fifty-three million, eight hundred ninety-two thousand, eight hundred sixty-four".