45354816 has 140 divisors (see below), whose sum is σ = 145003012. Its totient is φ = 13934592.

The previous prime is 45354739. The next prime is 45354817. The reversal of 45354816 is 61845354.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 34857216 = 3240^2 + 5904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45354817) 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, 67056 + ... + 67728.

Almost surely, 2^45354816 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 45354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72501506).

45354816 is an abundant number, since it is smaller than the sum of its proper divisors (99648196).

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

45354816 is a wasteful number, since it uses less digits than its factorization.

45354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45354816 is about 6734.5984290082. The cubic root of 45354816 is about 356.6217305409.

The spelling of 45354816 in words is "forty-five million, three hundred fifty-four thousand, eight hundred sixteen".