990584000001 has 12 divisors (see below), whose sum is σ = 1430950533012. Its totient is φ = 660339959136.

The previous prime is 990583999997. The next prime is 990584000009. The reversal of 990584000001 is 100000485099.

It can be written as a sum of positive squares in 2 ways, for example, as 571717454400 + 418866545601 = 756120^2 + 647199^2 .

It is not a de Polignac number, because 990584000001 - 2² = 990583999997 is a prime.

It is a super-2 number, since 2×990584000001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 990584000001.

It is not an unprimeable number, because it can be changed into a prime (990584000009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3987246 + ... + 4228391.

It is an arithmetic number, because the mean of its divisors is an integer number (119245877751).

Almost surely, 2^990584000001 is an apocalyptic number.

It is an amenable number.

990584000001 is a deficient number, since it is larger than the sum of its proper divisors (440366533011).

990584000001 is a wasteful number, since it uses less digits than its factorization.

990584000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229040 (or 8229037 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 990584000001 in words is "nine hundred ninety billion, five hundred eighty-four million, one", and thus it is an aban number.