45613645600 has 36 divisors (see below), whose sum is σ = 111354314274. Its totient is φ = 18245457920.

The previous prime is 45613645579. The next prime is 45613645603. The reversal of 45613645600 is 654631654.

It can be written as a sum of positive squares in 3 ways, for example, as 41944678416 + 3668967184 = 204804^2 + 60572^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45613645603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28507729 + ... + 28509328.

Almost surely, 2^45613645600 is an apocalyptic number.

45613645600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45613645600 is an abundant number, since it is smaller than the sum of its proper divisors (65740668674).

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

45613645600 is a wasteful number, since it uses less digits than its factorization.

45613645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57017077 (or 57017064 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 45613645600 in words is "forty-five billion, six hundred thirteen million, six hundred forty-five thousand, six hundred".