45258307600 has 135 divisors (see below), whose sum is σ = 119640253341. Its totient is φ = 16440547200.

The previous prime is 45258307597. The next prime is 45258307621. The reversal of 45258307600 is 670385254.

The square root of 45258307600 is 212740.

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., 16292990736 + 28965316864 = 127644^2 + 170192^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46802317 + ... + 46803283.

Almost surely, 2^45258307600 is an apocalyptic number.

45258307600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45258307600 is the 212740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45258307600

45258307600 is an abundant number, since it is smaller than the sum of its proper divisors (74381945741).

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

45258307600 is an equidigital number, since it uses as much as digits as its factorization.

45258307600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 45258307600 in words is "forty-five billion, two hundred fifty-eight million, three hundred seven thousand, six hundred".