45634445200 has 30 divisors (see below), whose sum is σ = 109636755554. Its totient is φ = 18253777920.

The previous prime is 45634445167. The next prime is 45634445201. The reversal of 45634445200 is 254443654.

It can be written as a sum of positive squares in 3 ways, for example, as 5075707536 + 40558737664 = 71244^2 + 201392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45634445200.

It is not an unprimeable number, because it can be changed into a prime (45634445201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57042657 + ... + 57043456.

Almost surely, 2^45634445200 is an apocalyptic number.

45634445200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45634445200 is an abundant number, since it is smaller than the sum of its proper divisors (64002310354).

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

45634445200 is a wasteful number, since it uses less digits than its factorization.

45634445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114086131 (or 114086120 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 45634445200 its reverse (254443654), we get a palindrome (45888888854).

The spelling of 45634445200 in words is "forty-five billion, six hundred thirty-four million, four hundred forty-five thousand, two hundred".