45257679168 has 224 divisors, whose sum is σ = 132223117824. Its totient is φ = 13574995968.

The previous prime is 45257679149. The next prime is 45257679179. The reversal of 45257679168 is 86197675254.

It is a happy number.

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, 37187296 + ... + 37188512.

It is an arithmetic number, because the mean of its divisors is an integer number (590281776).

Almost surely, 2^45257679168 is an apocalyptic number.

45257679168 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 45257679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66111558912).

45257679168 is an abundant number, since it is smaller than the sum of its proper divisors (86965438656).

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

45257679168 is a wasteful number, since it uses less digits than its factorization.

45257679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 60.

The spelling of 45257679168 in words is "forty-five billion, two hundred fifty-seven million, six hundred seventy-nine thousand, one hundred sixty-eight".