992174400000 has 1920 divisors, whose sum is σ = 4465109214720. Its totient is φ = 212336640000.

The previous prime is 992174399989. The next prime is 992174400013. The reversal of 992174400000 is 4471299.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5140799904 + ... + 5140800096.

It is an arithmetic number, because the mean of its divisors is an integer number (2325577716).

Almost surely, 2^992174400000 is an apocalyptic number.

992174400000 is a gapful number since it is divisible by the number (90) 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 992174400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232554607360).

992174400000 is an abundant number, since it is smaller than the sum of its proper divisors (3472934814720).

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

992174400000 is an equidigital number, since it uses as much as digits as its factorization.

992174400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 992174400000 its reverse (4471299), we get a palindrome (992178871299).

The spelling of 992174400000 in words is "nine hundred ninety-two billion, one hundred seventy-four million, four hundred thousand".