398168125344 has 432 divisors, whose sum is σ = 1321659218880. Its totient is φ = 113226854400.

The previous prime is 398168125343. The next prime is 398168125393. The reversal of 398168125344 is 443521861893.

It is a happy number.

398168125344 is a `hidden beast` number, since 3 + 98 + 1 + 6 + 8 + 12 + 534 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (398168125343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 260069859 + ... + 260071389.

It is an arithmetic number, because the mean of its divisors is an integer number (3059396340).

Almost surely, 2^398168125344 is an apocalyptic number.

398168125344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398168125344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660829609440).

398168125344 is an abundant number, since it is smaller than the sum of its proper divisors (923491093536).

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

398168125344 is a wasteful number, since it uses less digits than its factorization.

398168125344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2003 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 398168125344 in words is "three hundred ninety-eight billion, one hundred sixty-eight million, one hundred twenty-five thousand, three hundred forty-four".