12792746152672 has 144 divisors (see below), whose sum is σ = 27982271106720. Its totient is φ = 5744947912704.

The previous prime is 12792746152657. The next prime is 12792746152699. The reversal of 12792746152672 is 27625164729721.

It is a self number, because there is not a number n which added to its sum of digits gives 12792746152672.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29810604 + ... + 30236692.

It is an arithmetic number, because the mean of its divisors is an integer number (194321327130).

Almost surely, 2^{12792746152672} 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 12792746152672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991135553360).

12792746152672 is an abundant number, since it is smaller than the sum of its proper divisors (15189524954048).

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

12792746152672 is a wasteful number, since it uses less digits than its factorization.

12792746152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426273 (or 426246 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 61.

The spelling of 12792746152672 in words is "twelve trillion, seven hundred ninety-two billion, seven hundred forty-six million, one hundred fifty-two thousand, six hundred seventy-two".