2313648864 has 72 divisors (see below), whose sum is σ = 6966479520. Its totient is φ = 725849088.

The previous prime is 2313648851. The next prime is 2313648877. The reversal of 2313648864 is 4688463132.

It is an interprime number because it is at equal distance from previous prime (2313648851) and next prime (2313648877).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 231384 + ... + 241175.

It is an arithmetic number, because the mean of its divisors is an integer number (96756660).

Almost surely, 2^2313648864 is an apocalyptic number.

2313648864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2313648864 is an abundant number, since it is smaller than the sum of its proper divisors (4652830656).

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

2313648864 is a wasteful number, since it uses less digits than its factorization.

2313648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472592 (or 472581 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2313648864 is about 48100.4039899874. The cubic root of 2313648864 is about 1322.6120728872.

The spelling of 2313648864 in words is "two billion, three hundred thirteen million, six hundred forty-eight thousand, eight hundred sixty-four".