98601086916864 has 405 divisors, whose sum is σ = 342047052875451. Its totient is φ = 28168879334400.

The previous prime is 98601086916841. The next prime is 98601086916869. The reversal of 98601086916864 is 46861968010689.

The square root of 98601086916864 is 9929808.

It is a perfect power (a square), and thus also a powerful number.

98601086916864 is a `hidden beast` number, since 9 + 8 + 601 + 0 + 8 + 6 + 9 + 1 + 6 + 8 + 6 + 4 = 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 = 98601086916792 and 98601086916801.

It is not an unprimeable number, because it can be changed into a prime (98601086916869) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10009241539 + ... + 10009251389.

Almost surely, 2^{98601086916864} is an apocalyptic number.

98601086916864 is the 9929808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98601086916864

98601086916864 is an abundant number, since it is smaller than the sum of its proper divisors (243445965958587).

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

98601086916864 is an frugal number, since it uses more digits than its factorization.

98601086916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19744 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 98601086916864 in words is "ninety-eight trillion, six hundred one billion, eighty-six million, nine hundred sixteen thousand, eight hundred sixty-four".