45664566800 has 60 divisors (see below), whose sum is σ = 111779157060. Its totient is φ = 17921180160.

The previous prime is 45664566799. The next prime is 45664566809. The reversal of 45664566800 is 866546654.

It can be written as a sum of positive squares in 6 ways, for example, as 3642846736 + 42021720064 = 60356^2 + 204992^2 .

It is a super-2 number, since 2×45664566800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (45664566809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055795 + ... + 1098194.

It is an arithmetic number, because the mean of its divisors is an integer number (1862985951).

Almost surely, 2^45664566800 is an apocalyptic number.

45664566800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45664566800 is an abundant number, since it is smaller than the sum of its proper divisors (66114590260).

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

45664566800 is a wasteful number, since it uses less digits than its factorization.

45664566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154060 (or 2154049 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 50.

The spelling of 45664566800 in words is "forty-five billion, six hundred sixty-four million, five hundred sixty-six thousand, eight hundred".