45564552 has 128 divisors (see below), whose sum is σ = 140083200. Its totient is φ = 13608000.

The previous prime is 45564511. The next prime is 45564557. The reversal of 45564552 is 25546554.

45564552 is a `hidden beast` number, since 4 + 5 + 5 + 645 + 5 + 2 = 666.

It is a super-2 number, since 2×45564552² = 4152256797921408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45564557) 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 31 ways as a sum of consecutive naturals, for example, 301677 + ... + 301827.

It is an arithmetic number, because the mean of its divisors is an integer number (1094400).

Almost surely, 2^45564552 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 45564552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70041600).

45564552 is an abundant number, since it is smaller than the sum of its proper divisors (94518648).

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

45564552 is a wasteful number, since it uses less digits than its factorization.

45564552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 45564552 is about 6750.1519982886. The cubic root of 45564552 is about 357.1705985004.

The spelling of 45564552 in words is "forty-five million, five hundred sixty-four thousand, five hundred fifty-two".