2312923888900 has 27 divisors (see below), whose sum is σ = 5019077841141. Its totient is φ = 925163472240.

The previous prime is 2312923888889. The next prime is 2312923888903. The reversal of 2312923888900 is 98883292132.

The square root of 2312923888900 is 1520830.

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., 832652600004 + 1480271288896 = 912498^2 + 1216664^2 .

It is a super-3 number, since 3×2312923888900³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2312923888903) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15132259 + ... + 15284341.

Almost surely, 2^{2312923888900} is an apocalyptic number.

2312923888900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2312923888900 is the 1520830-th square number.

It is an amenable number.

2312923888900 is an abundant number, since it is smaller than the sum of its proper divisors (2706153952241).

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

2312923888900 is an frugal number, since it uses more digits than its factorization.

2312923888900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304180 (or 152090 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 2312923888900 in words is "two trillion, three hundred twelve billion, nine hundred twenty-three million, eight hundred eighty-eight thousand, nine hundred".