992206164096 has 320 divisors, whose sum is σ = 3376621121280. Its totient is φ = 283319119872.

The previous prime is 992206164091. The next prime is 992206164149. The reversal of 992206164096 is 690461602299.

It is a happy number.

992206164096 is a `hidden beast` number, since 9 + 9 + 220 + 6 + 1 + 6 + 409 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (992206164091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172945740 + ... + 172951476.

It is an arithmetic number, because the mean of its divisors is an integer number (10551941004).

Almost surely, 2^992206164096 is an apocalyptic number.

992206164096 is a gapful number since it is divisible by the number (96) 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 992206164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688310560640).

992206164096 is an abundant number, since it is smaller than the sum of its proper divisors (2384414957184).

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

992206164096 is a wasteful number, since it uses less digits than its factorization.

992206164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 992206164096 in words is "nine hundred ninety-two billion, two hundred six million, one hundred sixty-four thousand, ninety-six".