54464357376 has 891 divisors, whose sum is σ = 198839334603. Its totient is φ = 14338621440.

The previous prime is 54464357347. The next prime is 54464357449. The reversal of 54464357376 is 67375346445.

The square root of 54464357376 is 233376.

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

54464357376 is a `hidden beast` number, since 5 + 4 + 4 + 64 + 3 + 573 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 53972582400 = 22176^2 + 232320^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (25401600) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3203785720 + ... + 3203785736.

Almost surely, 2^54464357376 is an apocalyptic number.

54464357376 is the 233376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464357376

54464357376 is an abundant number, since it is smaller than the sum of its proper divisors (144374977227).

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

54464357376 is a wasteful number, since it uses less digits than its factorization.

54464357376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 46 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 54464357376 in words is "fifty-four billion, four hundred sixty-four million, three hundred fifty-seven thousand, three hundred seventy-six".