54816388641 has 27 divisors (see below), whose sum is σ = 92114711091. Its totient is φ = 31320841104.

The previous prime is 54816388639. The next prime is 54816388661. The reversal of 54816388641 is 14688361845.

The square root of 54816388641 is 234129.

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

54816388641 is a `hidden beast` number, since 548 + 1 + 6 + 38 + 8 + 64 + 1 = 666.

54816388641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 16674298641 + 38142090000 = 129129^2 + 195300^2 .

It is not a de Polignac number, because 54816388641 - 2¹ = 54816388639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54816388661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4911135 + ... + 4922283.

Almost surely, 2^54816388641 is an apocalyptic number.

54816388641 is the 234129-th square number.

54816388641 is the 117065-th centered octagonal number.

It is an amenable number.

54816388641 is a deficient number, since it is larger than the sum of its proper divisors (37298322450).

54816388641 is an frugal number, since it uses more digits than its factorization.

54816388641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22318 (or 11159 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

It can be divided in two parts, 548163 and 88641, that added together give a square (636804 = 798²).

The spelling of 54816388641 in words is "fifty-four billion, eight hundred sixteen million, three hundred eighty-eight thousand, six hundred forty-one".