8191896898201 has 27 divisors (see below), whose sum is σ = 8417596543551. Its totient is φ = 7972206927408.

The previous prime is 8191896898183. The next prime is 8191896898259. The reversal of 8191896898201 is 1028986981918.

The square root of 8191896898201 is 2862149.

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

It can be written as a sum of positive squares in only one way, i.e., 6012789505801 + 2179107392400 = 2452099^2 + 1476180^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8191896898201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8191896890201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23472483775 + ... + 23472484123.

Almost surely, 2^{8191896898201} is an apocalyptic number.

8191896898201 is the 2862149-th square number.

8191896898201 is the 1431075-th centered octagonal number.

It is an amenable number.

8191896898201 is a deficient number, since it is larger than the sum of its proper divisors (225699645350).

8191896898201 is an frugal number, since it uses more digits than its factorization.

8191896898201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 70.

The spelling of 8191896898201 in words is "eight trillion, one hundred ninety-one billion, eight hundred ninety-six million, eight hundred ninety-eight thousand, two hundred one".