45733968 has 120 divisors (see below), whose sum is σ = 148948800. Its totient is φ = 12828672.

The previous prime is 45733967. The next prime is 45733979. The reversal of 45733968 is 86933754.

Its product of digits (544320) is a multiple of the sum of its prime divisors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45733967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59088 + ... + 59856.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^45733968 is an apocalyptic number.

45733968 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 45733968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74474400).

45733968 is an abundant number, since it is smaller than the sum of its proper divisors (103214832).

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

45733968 is a wasteful number, since it uses less digits than its factorization.

45733968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 45733968 is about 6762.6894058503. The cubic root of 45733968 is about 357.6127226980.

The spelling of 45733968 in words is "forty-five million, seven hundred thirty-three thousand, nine hundred sixty-eight".