54464716800 has 504 divisors, whose sum is σ = 210192382764. Its totient is φ = 13400801280.

The previous prime is 54464716793. The next prime is 54464716847. The reversal of 54464716800 is 861746445.

54464716800 is a `hidden beast` number, since 5 + 446 + 47 + 168 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21124878336 + 33339838464 = 145344^2 + 182592^2 .

It is a super-2 number, since 2×54464716800² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23960464 + ... + 23962736.

Almost surely, 2^54464716800 is an apocalyptic number.

54464716800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105096191382).

54464716800 is an abundant number, since it is smaller than the sum of its proper divisors (155727665964).

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

54464716800 is a wasteful number, since it uses less digits than its factorization.

54464716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 54464716800 in words is "fifty-four billion, four hundred sixty-four million, seven hundred sixteen thousand, eight hundred".