54464348160 has 608 divisors, whose sum is σ = 206359363200. Its totient is φ = 13759414272.

The previous prime is 54464348089. The next prime is 54464348201. The reversal of 54464348160 is 6184346445.

54464348160 is a `hidden beast` number, since 5 + 446 + 4 + 3 + 48 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (608).

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 31 ways as a sum of consecutive naturals, for example, 2866544631 + ... + 2866544649.

Almost surely, 2^54464348160 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 54464348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103179681600).

54464348160 is an abundant number, since it is smaller than the sum of its proper divisors (151895015040).

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

54464348160 is an frugal number, since it uses more digits than its factorization.

54464348160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 54464348160 in words is "fifty-four billion, four hundred sixty-four million, three hundred forty-eight thousand, one hundred sixty".