45896112 has 80 divisors (see below), whose sum is σ = 132908160. Its totient is φ = 15163200.

The previous prime is 45896083. The next prime is 45896131. The reversal of 45896112 is 21169854.

45896112 is a `hidden beast` number, since 4 + 589 + 61 + 12 = 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 15 ways as a sum of consecutive naturals, for example, 56187 + ... + 56997.

It is an arithmetic number, because the mean of its divisors is an integer number (1661352).

Almost surely, 2^45896112 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 45896112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66454080).

45896112 is an abundant number, since it is smaller than the sum of its proper divisors (87012048).

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

45896112 is a wasteful number, since it uses less digits than its factorization.

45896112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 45896112 is about 6774.6669290822. Note that the first 3 decimals coincide. The cubic root of 45896112 is about 358.0348477881.

It can be divided in two parts, 4589 and 6112, that added together give a palindrome (10701).

The spelling of 45896112 in words is "forty-five million, eight hundred ninety-six thousand, one hundred twelve".