45186004900 has 81 divisors (see below), whose sum is σ = 101690113161. Its totient is φ = 17427338880.

The previous prime is 45186004883. The next prime is 45186004909. The reversal of 45186004900 is 940068154.

It is a happy number.

The square root of 45186004900 is 212570.

It is a perfect power (a square), and thus also a powerful number.

45186004900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3108508516 + 42077496384 = 55754^2 + 205128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45186004900.

It is not an unprimeable number, because it can be changed into a prime (45186004909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61644934 + ... + 61645666.

Almost surely, 2^45186004900 is an apocalyptic number.

45186004900 is the 212570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45186004900

45186004900 is an abundant number, since it is smaller than the sum of its proper divisors (56504108261).

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

45186004900 is an equidigital number, since it uses as much as digits as its factorization.

45186004900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 45186004900 in words is "forty-five billion, one hundred eighty-six million, four thousand, nine hundred".