398093905056 has 96 divisors (see below), whose sum is σ = 1078762829760. Its totient is φ = 128464809984.

The previous prime is 398093905043. The next prime is 398093905087. The reversal of 398093905056 is 650509390893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 398093904987 and 398093905005.

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 15 ways as a sum of consecutive naturals, for example, 39750 + ... + 893178.

It is an arithmetic number, because the mean of its divisors is an integer number (11237112810).

Almost surely, 2^398093905056 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 398093905056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539381414880).

398093905056 is an abundant number, since it is smaller than the sum of its proper divisors (680668924704).

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

398093905056 is a wasteful number, since it uses less digits than its factorization.

398093905056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853598 (or 853590 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 398093905056 in words is "three hundred ninety-eight billion, ninety-three million, nine hundred five thousand, fifty-six".