984270346816 has 189 divisors, whose sum is σ = 2115485978697. Its totient is φ = 454304263680.

The previous prime is 984270346789. The next prime is 984270346841. The reversal of 984270346816 is 618643072489.

It is a happy number.

The square root of 984270346816 is 992104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32006641216 + 952263705600 = 178904^2 + 975840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9198788235 + ... + 9198788341.

Almost surely, 2^984270346816 is an apocalyptic number.

984270346816 is the 992104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984270346816

984270346816 is an abundant number, since it is smaller than the sum of its proper divisors (1131215631881).

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

984270346816 is an equidigital number, since it uses as much as digits as its factorization.

984270346816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 984270346816 in words is "nine hundred eighty-four billion, two hundred seventy million, three hundred forty-six thousand, eight hundred sixteen".