992753971104 has 192 divisors, whose sum is σ = 3039177480192. Its totient is φ = 277879680000.

The previous prime is 992753971103. The next prime is 992753971127. The reversal of 992753971104 is 401179357299.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (992753971103) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10240749 + ... + 10337235.

It is an arithmetic number, because the mean of its divisors is an integer number (15829049376).

Almost surely, 2^992753971104 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 992753971104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519588740096).

992753971104 is an abundant number, since it is smaller than the sum of its proper divisors (2046423509088).

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

992753971104 is a wasteful number, since it uses less digits than its factorization.

992753971104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96819 (or 96811 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 992753971104 in words is "nine hundred ninety-two billion, seven hundred fifty-three million, nine hundred seventy-one thousand, one hundred four".