45255168 has 240 divisors, whose sum is σ = 158311296. Its totient is φ = 12165120.

The previous prime is 45255151. The next prime is 45255211. The reversal of 45255168 is 86155254.

45255168 is a `hidden beast` number, since 45 + 2 + 551 + 68 = 666.

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

Its product of digits (48000) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741858 + ... + 741918.

Almost surely, 2^45255168 is an apocalyptic number.

45255168 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 45255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155648).

45255168 is an abundant number, since it is smaller than the sum of its proper divisors (113056128).

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

45255168 is a wasteful number, since it uses less digits than its factorization.

45255168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45255168 is about 6727.1961469843. The cubic root of 45255168 is about 356.3603639597.

The spelling of 45255168 in words is "forty-five million, two hundred fifty-five thousand, one hundred sixty-eight".