45175968 has 120 divisors (see below), whose sum is σ = 137671380. Its totient is φ = 14515200.

The previous prime is 45175943. The next prime is 45175969. The reversal of 45175968 is 86957154.

45175968 is a `hidden beast` number, since 4 + 51 + 7 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 1774224 = 6588^2 + 1332^2 .

It is not an unprimeable number, because it can be changed into a prime (45175969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74868 + ... + 75468.

Almost surely, 2^45175968 is an apocalyptic number.

45175968 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 45175968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68835690).

45175968 is an abundant number, since it is smaller than the sum of its proper divisors (92495412).

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

45175968 is a wasteful number, since it uses less digits than its factorization.

45175968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 45175968 is about 6721.3070157522. The cubic root of 45175968 is about 356.1523566192.

The spelling of 45175968 in words is "forty-five million, one hundred seventy-five thousand, nine hundred sixty-eight".