2300873508864 has 144 divisors (see below), whose sum is σ = 7594680562560. Its totient is φ = 657392394240.

The previous prime is 2300873508863. The next prime is 2300873508893. The reversal of 2300873508864 is 4688053780032.

2300873508864 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 8 + 73 + 508 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2300873508864.

It is not an unprimeable number, because it can be changed into a prime (2300873508863) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8787432 + ... + 9045479.

It is an arithmetic number, because the mean of its divisors is an integer number (52740837240).

Almost surely, 2^{2300873508864} is an apocalyptic number.

2300873508864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2300873508864 is an abundant number, since it is smaller than the sum of its proper divisors (5293807053696).

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

2300873508864 is a wasteful number, since it uses less digits than its factorization.

2300873508864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17832946 (or 17832923 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2300873508864 in words is "two trillion, three hundred billion, eight hundred seventy-three million, five hundred eight thousand, eight hundred sixty-four".