8931661398 has 256 divisors, whose sum is σ = 23809766400. Its totient is φ = 2452239360.

The previous prime is 8931661381. The next prime is 8931661411.

8931661398 is a `hidden beast` number, since 8 + 9 + 3 + 16 + 613 + 9 + 8 = 666.

8931661398 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30483340 + ... + 30483632.

It is an arithmetic number, because the mean of its divisors is an integer number (93006900).

Almost surely, 2^8931661398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8931661398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904883200).

8931661398 is an abundant number, since it is smaller than the sum of its proper divisors (14878105002).

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

8931661398 is a wasteful number, since it uses less digits than its factorization.

8931661398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 8931661398 is about 94507.4674192468. The cubic root of 8931661398 is about 2074.8056254177.

The spelling of 8931661398 in words is "eight billion, nine hundred thirty-one million, six hundred sixty-one thousand, three hundred ninety-eight".