2307034613664 has 192 divisors, whose sum is σ = 7659720391680. Its totient is φ = 668705621760.

The previous prime is 2307034613659. The next prime is 2307034613693. The reversal of 2307034613664 is 4663164307032.

2307034613664 is a `hidden beast` number, since 2 + 30 + 70 + 3 + 461 + 36 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5058442 + ... + 5495625.

It is an arithmetic number, because the mean of its divisors is an integer number (39894377040).

Almost surely, 2^{2307034613664} is an apocalyptic number.

2307034613664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2307034613664 is an abundant number, since it is smaller than the sum of its proper divisors (5352685778016).

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

2307034613664 is a wasteful number, since it uses less digits than its factorization.

2307034613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554120 (or 10554106 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 2307034613664 in words is "two trillion, three hundred seven billion, thirty-four million, six hundred thirteen thousand, six hundred sixty-four".