45294144 has 112 divisors (see below), whose sum is σ = 139281408. Its totient is φ = 12722688.

The previous prime is 45294133. The next prime is 45294149. The reversal of 45294144 is 44149254.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45294149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89797 + ... + 90299.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^45294144 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 45294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69640704).

45294144 is an abundant number, since it is smaller than the sum of its proper divisors (93987264).

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

45294144 is a wasteful number, since it uses less digits than its factorization.

45294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 45294144 is about 6730.0924213565. The cubic root of 45294144 is about 356.4626396895.

The spelling of 45294144 in words is "forty-five million, two hundred ninety-four thousand, one hundred forty-four".