45279558144 has 160 divisors (see below), whose sum is σ = 134596682880. Its totient is φ = 15029452800.

The previous prime is 45279558127. The next prime is 45279558151. The reversal of 45279558144 is 44185597254.

45279558144 is a `hidden beast` number, since 4 + 5 + 2 + 79 + 558 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3324789 + ... + 3338379.

It is an arithmetic number, because the mean of its divisors is an integer number (841229268).

Almost surely, 2^45279558144 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 45279558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67298341440).

45279558144 is an abundant number, since it is smaller than the sum of its proper divisors (89317124736).

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

45279558144 is a wasteful number, since it uses less digits than its factorization.

45279558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13859 (or 13837 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 45279558144 in words is "forty-five billion, two hundred seventy-nine million, five hundred fifty-eight thousand, one hundred forty-four".