4575791592100 has 81 divisors (see below), whose sum is σ = 10548750446787. Its totient is φ = 1722514049280.

The previous prime is 4575791592079. The next prime is 4575791592103. The reversal of 4575791592100 is 12951975754.

The square root of 4575791592100 is 2139110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 107032356964 + 4468759235136 = 327158^2 + 2113944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4575791592103) 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 26 ways as a sum of consecutive naturals, for example, 363642409 + ... + 363654991.

Almost surely, 2^{4575791592100} is an apocalyptic number.

4575791592100 is the 2139110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4575791592100

4575791592100 is an abundant number, since it is smaller than the sum of its proper divisors (5972958854687).

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

4575791592100 is an equidigital number, since it uses as much as digits as its factorization.

4575791592100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25214 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 55.

The spelling of 4575791592100 in words is "four trillion, five hundred seventy-five billion, seven hundred ninety-one million, five hundred ninety-two thousand, one hundred".