398664356160 has 672 divisors, whose sum is σ = 1549399154688. Its totient is φ = 85054095360.

The previous prime is 398664356131. The next prime is 398664356191. The reversal of 398664356160 is 61653466893.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 398664356160.

It is a congruent number.

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, 254411697 + ... + 254413263.

It is an arithmetic number, because the mean of its divisors is an integer number (2305653504).

Almost surely, 2^398664356160 is an apocalyptic number.

398664356160 is a gapful number since it is divisible by the number (30) 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 398664356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774699577344).

398664356160 is an abundant number, since it is smaller than the sum of its proper divisors (1150734798528).

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

398664356160 is a wasteful number, since it uses less digits than its factorization.

398664356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 398664356160 in words is "three hundred ninety-eight billion, six hundred sixty-four million, three hundred fifty-six thousand, one hundred sixty".