398563974144 has 528 divisors, whose sum is σ = 1393875336960. Its totient is φ = 112150241280.

The previous prime is 398563974131. The next prime is 398563974161. The reversal of 398563974144 is 441479365893.

398563974144 is a `hidden beast` number, since 398 + 5 + 6 + 39 + 74 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90766189 + ... + 90770579.

Almost surely, 2^398563974144 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 398563974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696937668480).

398563974144 is an abundant number, since it is smaller than the sum of its proper divisors (995311362816).

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

398563974144 is a wasteful number, since it uses less digits than its factorization.

398563974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4470 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 398563974144 in words is "three hundred ninety-eight billion, five hundred sixty-three million, nine hundred seventy-four thousand, one hundred forty-four".