45295616 has 48 divisors (see below), whose sum is σ = 95970420. Its totient is φ = 21299200.

The previous prime is 45295609. The next prime is 45295631. The reversal of 45295616 is 61659254.

It can be written as a sum of positive squares in 2 ways, for example, as 43033600 + 2262016 = 6560^2 + 1504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45295616.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34166 + ... + 35466.

Almost surely, 2^45295616 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 45295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47985210).

45295616 is an abundant number, since it is smaller than the sum of its proper divisors (50674804).

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

45295616 is a wasteful number, since it uses less digits than its factorization.

45295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1320 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 45295616 is about 6730.2017800360. The cubic root of 45295616 is about 356.4665011698.

The spelling of 45295616 in words is "forty-five million, two hundred ninety-five thousand, six hundred sixteen".