45351936 has 264 divisors, whose sum is σ = 161794880. Its totient is φ = 11943936.

The previous prime is 45351919. The next prime is 45351949. The reversal of 45351936 is 63915354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45351936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225710 + ... + 1225746.

Almost surely, 2^45351936 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 45351936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80897440).

45351936 is an abundant number, since it is smaller than the sum of its proper divisors (116442944).

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

45351936 is a wasteful number, since it uses less digits than its factorization.

45351936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 45351936 is about 6734.3846044015. The cubic root of 45351936 is about 356.6141819686.

The spelling of 45351936 in words is "forty-five million, three hundred fifty-one thousand, nine hundred thirty-six".