54176286564 has 135 divisors (see below), whose sum is σ = 144521705097. Its totient is φ = 17697056256.

The previous prime is 54176286553. The next prime is 54176286641. The reversal of 54176286564 is 46568267145.

The square root of 54176286564 is 232758.

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

54176286564 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 628 + 6 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13126284900 + 41050001664 = 114570^2 + 202608^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 54176286564.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 280706052 + ... + 280706244.

Almost surely, 2^54176286564 is an apocalyptic number.

54176286564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54176286564 is the 232758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54176286564

54176286564 is an abundant number, since it is smaller than the sum of its proper divisors (90345418533).

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

54176286564 is an equidigital number, since it uses as much as digits as its factorization.

54176286564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 54176286564 in words is "fifty-four billion, one hundred seventy-six million, two hundred eighty-six thousand, five hundred sixty-four".