3013957102464 has 1152 divisors, whose sum is σ = 11370096541440. Its totient is φ = 777898598400.

The previous prime is 3013957102441. The next prime is 3013957102493. The reversal of 3013957102464 is 4642017593103.

3013957102464 is a `hidden beast` number, since 3 + 0 + 1 + 39 + 57 + 102 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6138405259 + ... + 6138405749.

It is an arithmetic number, because the mean of its divisors is an integer number (9869875470).

Almost surely, 2^{3013957102464} 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 3013957102464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685048270720).

3013957102464 is an abundant number, since it is smaller than the sum of its proper divisors (8356139438976).

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

3013957102464 is a wasteful number, since it uses less digits than its factorization.

3013957102464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3013957102464 in words is "three trillion, thirteen billion, nine hundred fifty-seven million, one hundred two thousand, four hundred sixty-four".