45381168 has 160 divisors (see below), whose sum is σ = 152768000. Its totient is φ = 12628224.

The previous prime is 45381157. The next prime is 45381181. The reversal of 45381168 is 86118354.

45381168 is a `hidden beast` number, since 4 + 538 + 116 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 129858 + ... + 130206.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 2^45381168 is an apocalyptic number.

45381168 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 45381168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76384000).

45381168 is an abundant number, since it is smaller than the sum of its proper divisors (107386832).

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

45381168 is a wasteful number, since it uses less digits than its factorization.

45381168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 45381168 is about 6736.5546089971. The cubic root of 45381168 is about 356.6907851432.

The spelling of 45381168 in words is "forty-five million, three hundred eighty-one thousand, one hundred sixty-eight".