45431616 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 13762560.

The previous prime is 45431611. The next prime is 45431629. The reversal of 45431616 is 61613454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45431611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100960 + ... + 101408.

Almost surely, 2^45431616 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 45431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

45431616 is an abundant number, since it is smaller than the sum of its proper divisors (86241984).

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

45431616 is a wasteful number, since it uses less digits than its factorization.

45431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 45431616 is about 6740.2979162645. The cubic root of 45431616 is about 356.8229080320.

The spelling of 45431616 in words is "forty-five million, four hundred thirty-one thousand, six hundred sixteen".