45766368 has 72 divisors (see below), whose sum is σ = 130804128. Its totient is φ = 15178752.

The previous prime is 45766367. The next prime is 45766417. The reversal of 45766368 is 86366754.

45766368 is a `hidden beast` number, since 4 + 5 + 7 + 6 + 636 + 8 = 666.

45766368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×45766368² = 4189120879822848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45766367) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 105480 + ... + 105912.

It is an arithmetic number, because the mean of its divisors is an integer number (1816724).

Almost surely, 2^45766368 is an apocalyptic number.

45766368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064).

45766368 is an abundant number, since it is smaller than the sum of its proper divisors (85037760).

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

45766368 is a wasteful number, since it uses less digits than its factorization.

45766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 805 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 45766368 is about 6765.0844784082. The cubic root of 45766368 is about 357.6971524091.

The spelling of 45766368 in words is "forty-five million, seven hundred sixty-six thousand, three hundred sixty-eight".