2198396324601 has 81 divisors (see below), whose sum is σ = 3334530334863. Its totient is φ = 1395634914720.

The previous prime is 2198396324557. The next prime is 2198396324617. The reversal of 2198396324601 is 1064236938912.

The square root of 2198396324601 is 1482699.

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

2198396324601 is a `hidden beast` number, since 2 + 1 + 9 + 8 + 3 + 9 + 6 + 3 + 24 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 257557265001 + 1940839059600 = 507501^2 + 1393140^2 .

It is not a de Polignac number, because 2198396324601 - 2⁷ = 2198396324473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2198396324101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14754337675 + ... + 14754337823.

Almost surely, 2^{2198396324601} is an apocalyptic number.

2198396324601 is the 1482699-th square number.

2198396324601 is the 741350-th centered octagonal number.

It is an amenable number.

2198396324601 is a deficient number, since it is larger than the sum of its proper divisors (1136134010262).

2198396324601 is an equidigital number, since it uses as much as digits as its factorization.

2198396324601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2198396324601 in words is "two trillion, one hundred ninety-eight billion, three hundred ninety-six million, three hundred twenty-four thousand, six hundred one".