45111816 has 80 divisors (see below), whose sum is σ = 129373200. Its totient is φ = 14678496.

The previous prime is 45111799. The next prime is 45111817. The reversal of 45111816 is 61811154.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45111816.

It is not an unprimeable number, because it can be changed into a prime (45111817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27055 + ... + 28673.

It is an arithmetic number, because the mean of its divisors is an integer number (1617165).

Almost surely, 2^45111816 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 45111816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64686600).

45111816 is an abundant number, since it is smaller than the sum of its proper divisors (84261384).

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

45111816 is a wasteful number, since it uses less digits than its factorization.

45111816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 45111816 is about 6716.5330342372. The cubic root of 45111816 is about 355.9836923894.

The spelling of 45111816 in words is "forty-five million, one hundred eleven thousand, eight hundred sixteen".