45456664 has 64 divisors (see below), whose sum is σ = 101145600. Its totient is φ = 18921600.

The previous prime is 45456647. The next prime is 45456667. The reversal of 45456664 is 46665454.

45456664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45456667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51394 + ... + 52270.

It is an arithmetic number, because the mean of its divisors is an integer number (1580400).

Almost surely, 2^45456664 is an apocalyptic number.

45456664 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 45456664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50572800).

45456664 is an abundant number, since it is smaller than the sum of its proper divisors (55688936).

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

45456664 is a wasteful number, since it uses less digits than its factorization.

45456664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 45456664 is about 6742.1557383377. The cubic root of 45456664 is about 356.8884721988. Note that the first 3 decimals are identical.

The spelling of 45456664 in words is "forty-five million, four hundred fifty-six thousand, six hundred sixty-four".