45254218128 has 160 divisors (see below), whose sum is σ = 140733849600. Its totient is φ = 12512545920.

The previous prime is 45254218099. The next prime is 45254218147. The reversal of 45254218128 is 82181245254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 45254218128.

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, 466051 + ... + 554717.

It is an arithmetic number, because the mean of its divisors is an integer number (879586560).

Almost surely, 2^45254218128 is an apocalyptic number.

45254218128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45254218128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70366924800).

45254218128 is an abundant number, since it is smaller than the sum of its proper divisors (95479631472).

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

45254218128 is a wasteful number, since it uses less digits than its factorization.

45254218128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88730 (or 88710 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The spelling of 45254218128 in words is "forty-five billion, two hundred fifty-four million, two hundred eighteen thousand, one hundred twenty-eight".