992673468900 has 81 divisors (see below), whose sum is σ = 3111573530793. Its totient is φ = 264704954400.

The previous prime is 992673468869. The next prime is 992673468947. The reversal of 992673468900 is 9864376299.

The square root of 992673468900 is 996330.

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., 357362448804 + 635311020096 = 597798^2 + 797064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29873295 + ... + 29906505.

Almost surely, 2^992673468900 is an apocalyptic number.

992673468900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

992673468900 is the 996330-th square number.

It is an amenable number.

992673468900 is an abundant number, since it is smaller than the sum of its proper divisors (2118900061893).

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

992673468900 is an equidigital number, since it uses as much as digits as its factorization.

992673468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66442 (or 33221 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 992673468900 in words is "nine hundred ninety-two billion, six hundred seventy-three million, four hundred sixty-eight thousand, nine hundred".