398087161525368 has 960 divisors, whose sum is σ = 1358895362457600. Its totient is φ = 108432358594560.

The previous prime is 398087161525301. The next prime is 398087161525379. The reversal of 398087161525368 is 863525161780893.

398087161525368 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 8 + 7 + 1 + 61 + 525 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 398087161525296 and 398087161525305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 36003174496 + ... + 36003185552.

It is an arithmetic number, because the mean of its divisors is an integer number (1415516002560).

Almost surely, 2^{398087161525368} 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 398087161525368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679447681228800).

398087161525368 is an abundant number, since it is smaller than the sum of its proper divisors (960808200932232).

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

398087161525368 is a wasteful number, since it uses less digits than its factorization.

398087161525368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11662 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 398087161525368 in words is "three hundred ninety-eight trillion, eighty-seven billion, one hundred sixty-one million, five hundred twenty-five thousand, three hundred sixty-eight".