992257288992 has 162 divisors, whose sum is σ = 2861753528907. Its totient is φ = 326126166912.

The previous prime is 992257288969. The next prime is 992257289047. The reversal of 992257288992 is 299882752299.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

992257288992 is a `hidden beast` number, since 9 + 9 + 2 + 257 + 288 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 496128644496 + 496128644496 = 704364^2 + 704364^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=704364.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 992257288992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1335473773 + ... + 1335474515.

Almost surely, 2^992257288992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992257288992

992257288992 is an abundant number, since it is smaller than the sum of its proper divisors (1869496239915).

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

992257288992 is an frugal number, since it uses more digits than its factorization.

992257288992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 827 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

Multiplying 992257288992 by its sum of digits (72), we get a square (71442524807424 = 8452368²).

992257288992 divided by its sum of digits (72) gives a square (13781351236 = 117394²).

The spelling of 992257288992 in words is "nine hundred ninety-two billion, two hundred fifty-seven million, two hundred eighty-eight thousand, nine hundred ninety-two".