3000456264144 has 40 divisors (see below), whose sum is σ = 7751301697440. Its totient is φ = 1000136215168.

The previous prime is 3000456264137. The next prime is 3000456264167. The reversal of 3000456264144 is 4414626540003.

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 7 ways as a sum of consecutive naturals, for example, 2783494 + ... + 3707930.

It is an arithmetic number, because the mean of its divisors is an integer number (193782542436).

Almost surely, 2^{3000456264144} is an apocalyptic number.

It is an amenable number.

3000456264144 is an abundant number, since it is smaller than the sum of its proper divisors (4750845433296).

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

3000456264144 is a wasteful number, since it uses less digits than its factorization.

3000456264144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992067 (or 992061 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 3000456264144 in words is "three trillion, four hundred fifty-six million, two hundred sixty-four thousand, one hundred forty-four".