45531312 has 80 divisors (see below), whose sum is σ = 124849152. Its totient is φ = 14273280.

The previous prime is 45531307. The next prime is 45531319. The reversal of 45531312 is 21313554.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1800) is a multiple of the sum of its prime divisors (900).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45531319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54643 + ... + 55469.

Almost surely, 2^45531312 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 45531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62424576).

45531312 is an abundant number, since it is smaller than the sum of its proper divisors (79317840).

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

45531312 is a wasteful number, since it uses less digits than its factorization.

45531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 45531312 is about 6747.6893822997. The cubic root of 45531312 is about 357.0837236648.

Adding to 45531312 its reverse (21313554), we get a palindrome (66844866).

The spelling of 45531312 in words is "forty-five million, five hundred thirty-one thousand, three hundred twelve".