1338125256972 has 36 divisors (see below), whose sum is σ = 3865695187536. Its totient is φ = 382321501920.

The previous prime is 1338125256943. The next prime is 1338125256997. The reversal of 1338125256972 is 2796525218331.

1338125256972 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 1 + 2 + 5 + 2 + 569 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2655010179 + ... + 2655010682.

It is an arithmetic number, because the mean of its divisors is an integer number (107380421876).

Almost surely, 2^{1338125256972} is an apocalyptic number.

1338125256972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1338125256972 is an abundant number, since it is smaller than the sum of its proper divisors (2527569930564).

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

1338125256972 is a wasteful number, since it uses less digits than its factorization.

1338125256972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310020878 (or 5310020873 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1338125256972 in words is "one trillion, three hundred thirty-eight billion, one hundred twenty-five million, two hundred fifty-six thousand, nine hundred seventy-two".