54456345152 has 112 divisors (see below), whose sum is σ = 119669356800. Its totient is φ = 24380213760.

The previous prime is 54456345143. The next prime is 54456345179. The reversal of 54456345152 is 25154365445.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 22144499 + ... + 22146957.

It is an arithmetic number, because the mean of its divisors is an integer number (1068476400).

Almost surely, 2^54456345152 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 54456345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59834678400).

54456345152 is an abundant number, since it is smaller than the sum of its proper divisors (65213011648).

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

54456345152 is a wasteful number, since it uses less digits than its factorization.

54456345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2934 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The spelling of 54456345152 in words is "fifty-four billion, four hundred fifty-six million, three hundred forty-five thousand, one hundred fifty-two".