4575877156900 has 81 divisors (see below), whose sum is σ = 11551199334129. Its totient is φ = 1568820828960.

The previous prime is 4575877156897. The next prime is 4575877156909. The reversal of 4575877156900 is 96517785754.

The square root of 4575877156900 is 2139130.

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., 1647315776484 + 2928561380416 = 1283478^2 + 1711304^2 .

It is a super-2 number, since 2×4575877156900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4575877156909) 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, 149723821 + ... + 149754379.

Almost surely, 2^{4575877156900} is an apocalyptic number.

4575877156900 is the 2139130-th square number.

It is an amenable number.

4575877156900 is an abundant number, since it is smaller than the sum of its proper divisors (6975322177229).

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

4575877156900 is an frugal number, since it uses more digits than its factorization.

4575877156900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61146 (or 30573 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 64.

Multiplying 4575877156900 by its sum of digits (64), we get a square (292856138041600 = 17113040²).

The spelling of 4575877156900 in words is "four trillion, five hundred seventy-five billion, eight hundred seventy-seven million, one hundred fifty-six thousand, nine hundred".