890034874100736 has 1408 divisors, whose sum is σ = 3145124252928000. Its totient is φ = 222356551237632.

The previous prime is 890034874100599. The next prime is 890034874100741. The reversal of 890034874100736 is 637001478430098.

It is a self number, because there is not a number n which added to its sum of digits gives 890034874100736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93954906496 + ... + 93954915968.

Almost surely, 2^{890034874100736} 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 890034874100736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572562126464000).

890034874100736 is an abundant number, since it is smaller than the sum of its proper divisors (2255089378827264).

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

890034874100736 is an equidigital number, since it uses as much as digits as its factorization.

890034874100736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 890034874100736 in words is "eight hundred ninety trillion, thirty-four billion, eight hundred seventy-four million, one hundred thousand, seven hundred thirty-six".