45645768 has 160 divisors (see below), whose sum is σ = 151588800. Its totient is φ = 12555648.

The previous prime is 45645727. The next prime is 45645779. The reversal of 45645768 is 86754654.

It is a super-2 number, since 2×45645768² = 4167072272619648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131371 + ... + 131717.

It is an arithmetic number, because the mean of its divisors is an integer number (947430).

Almost surely, 2^45645768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45645768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75794400).

45645768 is an abundant number, since it is smaller than the sum of its proper divisors (105943032).

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

45645768 is a wasteful number, since it uses less digits than its factorization.

45645768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 45645768 is about 6756.1651844815. The cubic root of 45645768 is about 357.3826840517.

The spelling of 45645768 in words is "forty-five million, six hundred forty-five thousand, seven hundred sixty-eight".