54616946400 has 108 divisors (see below), whose sum is σ = 192593032632. Its totient is φ = 14564517120.

The previous prime is 54616946393. The next prime is 54616946431. The reversal of 54616946400 is 464961645.

It is a happy number.

54616946400 is a `hidden beast` number, since 5 + 46 + 169 + 46 + 400 = 666.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3785644 + ... + 3800043.

Almost surely, 2^54616946400 is an apocalyptic number.

54616946400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54616946400 is an abundant number, since it is smaller than the sum of its proper divisors (137976086232).

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

54616946400 is a wasteful number, since it uses less digits than its factorization.

54616946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585713 (or 7585697 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54616946400 in words is "fifty-four billion, six hundred sixteen million, nine hundred forty-six thousand, four hundred".