3998856588993 has 48 divisors (see below), whose sum is σ = 6829210177920. Its totient is φ = 2206171199232.

The previous prime is 3998856588977. The next prime is 3998856589001.

3998856588993 is a `hidden beast` number, since 39 + 9 + 8 + 8 + 565 + 8 + 8 + 9 + 9 + 3 = 666.

3998856588993 is nontrivially palindromic in base 10.

3998856588993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3998856588993 - 2⁴ = 3998856588977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3998856588893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80204130 + ... + 80253972.

It is an arithmetic number, because the mean of its divisors is an integer number (142275212040).

Almost surely, 2^{3998856588993} is an apocalyptic number.

It is an amenable number.

3998856588993 is a deficient number, since it is larger than the sum of its proper divisors (2830353588927).

3998856588993 is a wasteful number, since it uses less digits than its factorization.

3998856588993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93798 (or 93795 counting only the distinct ones).

The product of its digits is 36279705600, while the sum is 90.

The spelling of 3998856588993 in words is "three trillion, nine hundred ninety-eight billion, eight hundred fifty-six million, five hundred eighty-eight thousand, nine hundred ninety-three".