18334736120464 has 45 divisors (see below), whose sum is σ = 36791737647483. Its totient is φ = 8851012133376.

The previous prime is 18334736120443. The next prime is 18334736120501. The reversal of 18334736120464 is 46402163743381.

The square root of 18334736120464 is 4281908.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8279545856400 + 10055190264064 = 2877420^2 + 3170992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 496682872 + ... + 496719784.

Almost surely, 2^{18334736120464} is an apocalyptic number.

18334736120464 is the 4281908-th square number.

It is an amenable number.

18334736120464 is an abundant number, since it is smaller than the sum of its proper divisors (18457001527019).

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

18334736120464 is an frugal number, since it uses more digits than its factorization.

18334736120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73892 (or 36944 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 18334736120464 in words is "eighteen trillion, three hundred thirty-four billion, seven hundred thirty-six million, one hundred twenty thousand, four hundred sixty-four".