45825964900 has 27 divisors (see below), whose sum is σ = 99446989369. Its totient is φ = 18329529680.

The previous prime is 45825964889. The next prime is 45825964903. The reversal of 45825964900 is 946952854.

The square root of 45825964900 is 214070.

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

It can be written as a sum of positive squares in only one way, i.e., 16497347364 + 29328617536 = 128442^2 + 171256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45825964903) 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 8 ways as a sum of consecutive naturals, for example, 2129997 + ... + 2151403.

Almost surely, 2^45825964900 is an apocalyptic number.

45825964900 is the 214070-th square number.

It is an amenable number.

45825964900 is an abundant number, since it is smaller than the sum of its proper divisors (53621024469).

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

45825964900 is an frugal number, since it uses more digits than its factorization.

45825964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42828 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 45825964900 in words is "forty-five billion, eight hundred twenty-five million, nine hundred sixty-four thousand, nine hundred".