2313045588672 has 1344 divisors, whose sum is σ = 9012004531200. Its totient is φ = 567602380800.

The previous prime is 2313045588649. The next prime is 2313045588697. The reversal of 2313045588672 is 2768855403132.

2313045588672 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 0 + 4 + 558 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3509932279 + ... + 3509932937.

Almost surely, 2^{2313045588672} 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 2313045588672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506002265600).

2313045588672 is an abundant number, since it is smaller than the sum of its proper divisors (6698958942528).

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

2313045588672 is a wasteful number, since it uses less digits than its factorization.

2313045588672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2313045588672 in words is "two trillion, three hundred thirteen billion, forty-five million, five hundred eighty-eight thousand, six hundred seventy-two".