3121385165856 has 72 divisors (see below), whose sum is σ = 8876644125804. Its totient is φ = 1040437685760.

The previous prime is 3121385165851. The next prime is 3121385165861. The reversal of 3121385165856 is 6585615831213.

3121385165856 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 8 + 51 + 6 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3121385165851) and next prime (3121385165861).

It can be written as a sum of positive squares in 2 ways, for example, as 2912824890000 + 208560275856 = 1706700^2 + 456684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3121385165851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15933010 + ... + 16127726.

Almost surely, 2^{3121385165856} is an apocalyptic number.

3121385165856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3121385165856 is an abundant number, since it is smaller than the sum of its proper divisors (5755258959948).

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

3121385165856 is a wasteful number, since it uses less digits than its factorization.

3121385165856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250394 (or 250383 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 54.

The spelling of 3121385165856 in words is "three trillion, one hundred twenty-one billion, three hundred eighty-five million, one hundred sixty-five thousand, eight hundred fifty-six".