12952731371904 has 512 divisors, whose sum is σ = 40331779200000. Its totient is φ = 4086618439680.

The previous prime is 12952731371897. The next prime is 12952731371929. The reversal of 12952731371904 is 40917313725921.

12952731371904 is a `hidden beast` number, since 1 + 29 + 527 + 3 + 1 + 3 + 7 + 1 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1273741732 + ... + 1273751900.

It is an arithmetic number, because the mean of its divisors is an integer number (78773006250).

Almost surely, 2^{12952731371904} 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 12952731371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20165889600000).

12952731371904 is an abundant number, since it is smaller than the sum of its proper divisors (27379047828096).

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

12952731371904 is a wasteful number, since it uses less digits than its factorization.

12952731371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10471 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 12952731371904 in words is "twelve trillion, nine hundred fifty-two billion, seven hundred thirty-one million, three hundred seventy-one thousand, nine hundred four".