992733249600 has 945 divisors, whose sum is σ = 3893401776173. Its totient is φ = 239891604480.

The previous prime is 992733249589. The next prime is 992733249617. The reversal of 992733249600 is 6942337299.

The square root of 992733249600 is 996360.

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

992733249600 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 3 + 3 + 24 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357383969856 + 635349279744 = 597816^2 + 797088^2 .

It is a super-2 number, since 2×992733249600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 43162315189 + ... + 43162315211.

Almost surely, 2^992733249600 is an apocalyptic number.

992733249600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

992733249600 is the 996360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992733249600

992733249600 is an abundant number, since it is smaller than the sum of its proper divisors (2900668526573).

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

992733249600 is an equidigital number, since it uses as much as digits as its factorization.

992733249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 992733249600 in words is "nine hundred ninety-two billion, seven hundred thirty-three million, two hundred forty-nine thousand, six hundred".