45749856 has 96 divisors (see below), whose sum is σ = 128913120. Its totient is φ = 14204928.

The previous prime is 45749789. The next prime is 45749857. The reversal of 45749856 is 65894754.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45749857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471600 + ... + 471696.

It is an arithmetic number, because the mean of its divisors is an integer number (1342845).

Almost surely, 2^45749856 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 45749856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64456560).

45749856 is an abundant number, since it is smaller than the sum of its proper divisors (83163264).

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

45749856 is an equidigital number, since it uses as much as digits as its factorization.

45749856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 45749856 is about 6763.8639844397. The cubic root of 45749856 is about 357.6541295076.

The spelling of 45749856 in words is "forty-five million, seven hundred forty-nine thousand, eight hundred fifty-six".