45615312 has 100 divisors (see below), whose sum is σ = 134420836. Its totient is φ = 14929920.

The previous prime is 45615293. The next prime is 45615313. The reversal of 45615312 is 21351654.

45615312 is a `hidden beast` number, since 45 + 615 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25040016 + 20575296 = 5004^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45615313) 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, 78768 + ... + 79344.

Almost surely, 2^45615312 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 45615312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67210418).

45615312 is an abundant number, since it is smaller than the sum of its proper divisors (88805524).

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

45615312 is a wasteful number, since it uses less digits than its factorization.

45615312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 643 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45615312 is about 6753.9108670458. The cubic root of 45615312 is about 357.3031814736.

Adding to 45615312 its reverse (21351654), we get a palindrome (66966966).

The spelling of 45615312 in words is "forty-five million, six hundred fifteen thousand, three hundred twelve".