45833568 has 48 divisors (see below), whose sum is σ = 131253696. Its totient is φ = 13888640.

The previous prime is 45833551. The next prime is 45833573. The reversal of 45833568 is 86533854.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×45833568² = 4201431911221248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20646 + ... + 22757.

It is an arithmetic number, because the mean of its divisors is an integer number (2734452).

Almost surely, 2^45833568 is an apocalyptic number.

45833568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45833568 is an abundant number, since it is smaller than the sum of its proper divisors (85420128).

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

45833568 is a wasteful number, since it uses less digits than its factorization.

45833568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43427 (or 43419 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 45833568 is about 6770.0493351230. The cubic root of 45833568 is about 357.8721389362.

It can be divided in two parts, 458335 and 68, that added together give a triangular number (458403 = T₉₅₇).

The spelling of 45833568 in words is "forty-five million, eight hundred thirty-three thousand, five hundred sixty-eight".