45758016 has 84 divisors (see below), whose sum is σ = 138901932. Its totient is φ = 14352384.

The previous prime is 45758003. The next prime is 45758021. The reversal of 45758016 is 61085754.

45758016 is a `hidden beast` number, since 4 + 575 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 5308416 = 6360^2 + 2304^2 .

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

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, 7456 + ... + 12128.

Almost surely, 2^45758016 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 45758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69450966).

45758016 is an abundant number, since it is smaller than the sum of its proper divisors (93143916).

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

45758016 is a wasteful number, since it uses less digits than its factorization.

45758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45758016 is about 6764.4671630514. The cubic root of 45758016 is about 357.6753921188.

The spelling of 45758016 in words is "forty-five million, seven hundred fifty-eight thousand, sixteen".