992012773248 has 1024 divisors, whose sum is σ = 3778928640000. Its totient is φ = 249365495808.

The previous prime is 992012773247. The next prime is 992012773277. The reversal of 992012773248 is 842377210299.

It is a happy number.

992012773248 is a `hidden beast` number, since 99 + 201 + 27 + 7 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 992012773194 and 992012773203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992012773247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 617306461 + ... + 617308067.

It is an arithmetic number, because the mean of its divisors is an integer number (3690360000).

Almost surely, 2^992012773248 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 992012773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889464320000).

992012773248 is an abundant number, since it is smaller than the sum of its proper divisors (2786915866752).

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

992012773248 is a wasteful number, since it uses less digits than its factorization.

992012773248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 992012773248 in words is "nine hundred ninety-two billion, twelve million, seven hundred seventy-three thousand, two hundred forty-eight".