45894492900 has 243 divisors, whose sum is σ = 148616771121. Its totient is φ = 11846062080.

The previous prime is 45894492887. The next prime is 45894492929. The reversal of 45894492900 is 929449854.

The square root of 45894492900 is 214230.

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

45894492900 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 21001226724 + 24893266176 = 144918^2 + 157776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237795204 + ... + 237795396.

Almost surely, 2^45894492900 is an apocalyptic number.

45894492900 is the 214230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45894492900

45894492900 is an abundant number, since it is smaller than the sum of its proper divisors (102722278221).

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

45894492900 is a wasteful number, since it uses less digits than its factorization.

45894492900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45894492900 in words is "forty-five billion, eight hundred ninety-four million, four hundred ninety-two thousand, nine hundred".