54348174720 has 864 divisors, whose sum is σ = 228019119120. Its totient is φ = 12133545984.

The previous prime is 54348174709. The next prime is 54348174767. The reversal of 54348174720 is 2747184345.

54348174720 is a `hidden beast` number, since 5 + 434 + 81 + 74 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1263911019 + ... + 1263911061.

Almost surely, 2^54348174720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54348174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114009559560).

54348174720 is an abundant number, since it is smaller than the sum of its proper divisors (173670944400).

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

54348174720 is an frugal number, since it uses more digits than its factorization.

54348174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 54348174720 in words is "fifty-four billion, three hundred forty-eight million, one hundred seventy-four thousand, seven hundred twenty".