992275846128 has 960 divisors, whose sum is σ = 3480527232000. Its totient is φ = 273422822400.

The previous prime is 992275846097. The next prime is 992275846129. The reversal of 992275846128 is 821648572299.

992275846128 is a `hidden beast` number, since 9 + 9 + 2 + 2 + 7 + 5 + 8 + 4 + 612 + 8 = 666.

It is a super-2 number, since 2×992275846128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992275846129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7138675083 + ... + 7138675221.

It is an arithmetic number, because the mean of its divisors is an integer number (3625549200).

Almost surely, 2^992275846128 is an apocalyptic number.

992275846128 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992275846128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740263616000).

992275846128 is an abundant number, since it is smaller than the sum of its proper divisors (2488251385872).

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

992275846128 is a wasteful number, since it uses less digits than its factorization.

992275846128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 305 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

It can be divided in two parts, 992275 and 846128, that added together give a triangular number (1838403 = T₁₉₁₇).

The spelling of 992275846128 in words is "nine hundred ninety-two billion, two hundred seventy-five million, eight hundred forty-six thousand, one hundred twenty-eight".