2313128664 has 512 divisors, whose sum is σ = 8671795200. Its totient is φ = 559872000.

The previous prime is 2313128663. The next prime is 2313128677. The reversal of 2313128664 is 4668213132.

2313128664 is a `hidden beast` number, since 2 + 313 + 1 + 286 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313128663) 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 127 ways as a sum of consecutive naturals, for example, 22902214 + ... + 22902314.

It is an arithmetic number, because the mean of its divisors is an integer number (16937100).

Almost surely, 2^2313128664 is an apocalyptic number.

2313128664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313128664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335897600).

2313128664 is an abundant number, since it is smaller than the sum of its proper divisors (6358666536).

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

2313128664 is a wasteful number, since it uses less digits than its factorization.

2313128664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2313128664 is about 48094.9962470110. The cubic root of 2313128664 is about 1322.5129402455.

The spelling of 2313128664 in words is "two billion, three hundred thirteen million, one hundred twenty-eight thousand, six hundred sixty-four".