54509174784 has 225 divisors, whose sum is σ = 166195096743. Its totient is φ = 17213423616.

The previous prime is 54509174771. The next prime is 54509174809. The reversal of 54509174784 is 48747190545.

The square root of 54509174784 is 233472.

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

54509174784 is a `hidden beast` number, since 5 + 4 + 509 + 17 + 47 + 84 = 666.

It is a super-2 number, since 2×54509174784² (a number of 22 digits) contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 54509174784.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2868903927 + ... + 2868903945.

Almost surely, 2^54509174784 is an apocalyptic number.

54509174784 is the 233472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54509174784

54509174784 is an abundant number, since it is smaller than the sum of its proper divisors (111685921959).

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

54509174784 is an frugal number, since it uses more digits than its factorization.

54509174784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 54509174784 in words is "fifty-four billion, five hundred nine million, one hundred seventy-four thousand, seven hundred eighty-four".