45115632 has 60 divisors (see below), whose sum is σ = 127061064. Its totient is φ = 14943360.

The previous prime is 45115597. The next prime is 45115663. The reversal of 45115632 is 23651154.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45115596 and 45115605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24007 + ... + 25817.

Almost surely, 2^45115632 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 45115632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63530532).

45115632 is an abundant number, since it is smaller than the sum of its proper divisors (81945432).

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

45115632 is a wasteful number, since it uses less digits than its factorization.

45115632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

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

The square root of 45115632 is about 6716.8171033608. The cubic root of 45115632 is about 355.9937296375.

Adding to 45115632 its reverse (23651154), we get a palindrome (68766786).

The spelling of 45115632 in words is "forty-five million, one hundred fifteen thousand, six hundred thirty-two".