2313065664 has 168 divisors, whose sum is σ = 8160166560. Its totient is φ = 610025472.

The previous prime is 2313065659. The next prime is 2313065687. The reversal of 2313065664 is 4665603132.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30352 + ... + 74480.

It is an arithmetic number, because the mean of its divisors is an integer number (48572420).

Almost surely, 2^2313065664 is an apocalyptic number.

2313065664 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 2313065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080083280).

2313065664 is an abundant number, since it is smaller than the sum of its proper divisors (5847100896).

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

2313065664 is a wasteful number, since it uses less digits than its factorization.

2313065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44167 (or 44154 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2313065664 is about 48094.3412887629. The cubic root of 2313065664 is about 1322.5009335533.

Adding to 2313065664 its reverse (4665603132), we get a palindrome (6978668796).

The spelling of 2313065664 in words is "two billion, three hundred thirteen million, sixty-five thousand, six hundred sixty-four".