45236016 has 120 divisors (see below), whose sum is σ = 151113840. Its totient is φ = 12918528.

The previous prime is 45235987. The next prime is 45236033. The reversal of 45236016 is 61063254.

45236016 is a `hidden beast` number, since 4 + 52 + 3 + 601 + 6 = 666.

45236016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20100 + ... + 22236.

It is an arithmetic number, because the mean of its divisors is an integer number (1259282).

Almost surely, 2^45236016 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 45236016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75556920).

45236016 is an abundant number, since it is smaller than the sum of its proper divisors (105877824).

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

45236016 is a wasteful number, since it uses less digits than its factorization.

45236016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45236016 is about 6725.7725206849. The cubic root of 45236016 is about 356.3100862640.

The spelling of 45236016 in words is "forty-five million, two hundred thirty-six thousand, sixteen".