990197747712 has 390 divisors, whose sum is σ = 3139500688038. Its totient is φ = 309908865024.

The previous prime is 990197747683. The next prime is 990197747741. The reversal of 990197747712 is 217747791099.

990197747712 is a `hidden beast` number, since 9 + 90 + 1 + 9 + 77 + 477 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (990197747683) and next prime (990197747741).

It can be written as a sum of positive squares in only one way, i.e., 931950821376 + 58246926336 = 965376^2 + 241344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 990197747712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2363240239 + ... + 2363240657.

Almost surely, 2^990197747712 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 990197747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569750344019).

990197747712 is an abundant number, since it is smaller than the sum of its proper divisors (2149302940326).

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

990197747712 is an frugal number, since it uses more digits than its factorization.

990197747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 14002632, while the sum is 63.

The spelling of 990197747712 in words is "nine hundred ninety billion, one hundred ninety-seven million, seven hundred forty-seven thousand, seven hundred twelve".