2300645836944 has 675 divisors, whose sum is σ = 8405702259273. Its totient is φ = 605453232384.

The previous prime is 2300645836933. The next prime is 2300645836991. The reversal of 2300645836944 is 4496385460032.

The square root of 2300645836944 is 1516788.

It is a perfect power (a square), and thus also a powerful number.

2300645836944 is a `hidden beast` number, since 230 + 0 + 6 + 4 + 5 + 8 + 369 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340332224400 + 1960313612544 = 583380^2 + 1400112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 134 ways as a sum of consecutive naturals, for example, 4968997257 + ... + 4968997719.

Almost surely, 2^{2300645836944} is an apocalyptic number.

2300645836944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2300645836944 is the 1516788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300645836944

2300645836944 is an abundant number, since it is smaller than the sum of its proper divisors (6105056422329).

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

2300645836944 is an equidigital number, since it uses as much as digits as its factorization.

2300645836944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 2300645836944 in words is "two trillion, three hundred billion, six hundred forty-five million, eight hundred thirty-six thousand, nine hundred forty-four".