398160522144 has 576 divisors, whose sum is σ = 1436856744960. Its totient is φ = 101584834560.

The previous prime is 398160522103. The next prime is 398160522167. The reversal of 398160522144 is 441225061893.

398160522144 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 605 + 22 + 14 + 4 = 666.

398160522144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 398160522144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678297019 + ... + 678297605.

It is an arithmetic number, because the mean of its divisors is an integer number (2494542960).

Almost surely, 2^398160522144 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 398160522144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718428372480).

398160522144 is an abundant number, since it is smaller than the sum of its proper divisors (1038696222816).

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

398160522144 is a wasteful number, since it uses less digits than its factorization.

398160522144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 398160522144 in words is "three hundred ninety-eight billion, one hundred sixty million, five hundred twenty-two thousand, one hundred forty-four".