45665664 has 128 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 13086720.

The previous prime is 45665663. The next prime is 45665671. The reversal of 45665664 is 46656654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45665663) 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, 79972 + ... + 80540.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 2^45665664 is an apocalyptic number.

45665664 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 45665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

45665664 is an abundant number, since it is smaller than the sum of its proper divisors (93870336).

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

45665664 is a wasteful number, since it uses less digits than its factorization.

45665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 45665664 is about 6757.6374569815. The cubic root of 45665664 is about 357.4346016288.

It can be divided in two parts, 456 and 65664, that multiplied together give a square (29942784 = 5472²).

The spelling of 45665664 in words is "forty-five million, six hundred sixty-five thousand, six hundred sixty-four".