398806056096 has 192 divisors, whose sum is σ = 1224842572800. Its totient is φ = 113570553600.

The previous prime is 398806056079. The next prime is 398806056127. The reversal of 398806056096 is 690650608893.

398806056096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×398806056096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10089171 + ... + 10128621.

It is an arithmetic number, because the mean of its divisors is an integer number (6379388400).

Almost surely, 2^398806056096 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 398806056096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612421286400).

398806056096 is an abundant number, since it is smaller than the sum of its proper divisors (826036516704).

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

398806056096 is a wasteful number, since it uses less digits than its factorization.

398806056096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39792 (or 39770 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 398806056096 in words is "three hundred ninety-eight billion, eight hundred six million, fifty-six thousand, ninety-six".