45444564 has 120 divisors (see below), whose sum is σ = 133189056. Its totient is φ = 13392000.

The previous prime is 45444533. The next prime is 45444569. The reversal of 45444564 is 46544454.

45444564 is a `hidden beast` number, since 4 + 54 + 44 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45444569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145969 + ... + 146279.

Almost surely, 2^45444564 is an apocalyptic number.

45444564 is a gapful number since it is divisible by the number (44) 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 45444564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66594528).

45444564 is an abundant number, since it is smaller than the sum of its proper divisors (87744492).

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

45444564 is a wasteful number, since it uses less digits than its factorization.

45444564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 45444564 is about 6741.2583395090. The cubic root of 45444564 is about 356.8568029608.

The spelling of 45444564 in words is "forty-five million, four hundred forty-four thousand, five hundred sixty-four".