54714448800 has 216 divisors, whose sum is σ = 210476841120. Its totient is φ = 13264089600.

The previous prime is 54714448777. The next prime is 54714448807. The reversal of 54714448800 is 884441745.

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

It is not an unprimeable number, because it can be changed into a prime (54714448807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266220 + ... + 424619.

It is an arithmetic number, because the mean of its divisors is an integer number (974429820).

Almost surely, 2^54714448800 is an apocalyptic number.

54714448800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54714448800 is an abundant number, since it is smaller than the sum of its proper divisors (155762392320).

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

54714448800 is a wasteful number, since it uses less digits than its factorization.

54714448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690876 (or 690860 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 54714448800 in words is "fifty-four billion, seven hundred fourteen million, four hundred forty-eight thousand, eight hundred".