992939242464 has 864 divisors, whose sum is σ = 3305325284352. Its totient is φ = 280782028800.

The previous prime is 992939242459. The next prime is 992939242469. The reversal of 992939242464 is 464242939299.

It is an interprime number because it is at equal distance from previous prime (992939242459) and next prime (992939242469).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992939242469) 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 143 ways as a sum of consecutive naturals, for example, 7818419169 + ... + 7818419295.

It is an arithmetic number, because the mean of its divisors is an integer number (3825607968).

Almost surely, 2^992939242464 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 992939242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652662642176).

992939242464 is an abundant number, since it is smaller than the sum of its proper divisors (2312386041888).

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

992939242464 is a wasteful number, since it uses less digits than its factorization.

992939242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 270 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 992939242464 in words is "nine hundred ninety-two billion, nine hundred thirty-nine million, two hundred forty-two thousand, four hundred sixty-four".