54496101136 has 45 divisors (see below), whose sum is σ = 112195180191. Its totient is φ = 25637753856.

The previous prime is 54496101113. The next prime is 54496101137. The reversal of 54496101136 is 63110169445.

The square root of 54496101136 is 233444.

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 820478736 + 53675622400 = 28644^2 + 231680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54496101137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15872476 + ... + 15875908.

Almost surely, 2^54496101136 is an apocalyptic number.

54496101136 is the 233444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54496101136

54496101136 is an abundant number, since it is smaller than the sum of its proper divisors (57699079055).

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

54496101136 is an frugal number, since it uses more digits than its factorization.

54496101136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 54496101136 in words is "fifty-four billion, four hundred ninety-six million, one hundred one thousand, one hundred thirty-six".