398796162912 has 768 divisors, whose sum is σ = 1421328384000. Its totient is φ = 106393098240.

The previous prime is 398796162847. The next prime is 398796162929. The reversal of 398796162912 is 219261697893.

398796162912 is a `hidden beast` number, since 3 + 9 + 8 + 7 + 9 + 616 + 2 + 9 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 398796162912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 665769589 + ... + 665770187.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688000).

Almost surely, 2^398796162912 is an apocalyptic number.

398796162912 is a gapful number since it is divisible by the number (32) 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 398796162912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710664192000).

398796162912 is an abundant number, since it is smaller than the sum of its proper divisors (1022532221088).

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

398796162912 is a wasteful number, since it uses less digits than its factorization.

398796162912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 398796162912 in words is "three hundred ninety-eight billion, seven hundred ninety-six million, one hundred sixty-two thousand, nine hundred twelve".