45569664 has 96 divisors (see below), whose sum is σ = 149891040. Its totient is φ = 13017600.

The previous prime is 45569663. The next prime is 45569677. The reversal of 45569664 is 46696554.

45569664 is a `hidden beast` number, since 4 + 556 + 96 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45569663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5239 + ... + 10889.

It is an arithmetic number, because the mean of its divisors is an integer number (1561365).

Almost surely, 2^45569664 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 45569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74945520).

45569664 is an abundant number, since it is smaller than the sum of its proper divisors (104321376).

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

45569664 is a wasteful number, since it uses less digits than its factorization.

45569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5663 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 45569664 is about 6750.5306458085. The cubic root of 45569664 is about 357.1839552857.

The spelling of 45569664 in words is "forty-five million, five hundred sixty-nine thousand, six hundred sixty-four".