2196326964001 has 9 divisors (see below), whose sum is σ = 2202463207161. Its totient is φ = 2190207781872.

The previous prime is 2196326963977. The next prime is 2196326964011. The reversal of 2196326964001 is 1004696236912.

The square root of 2196326964001 is 1482001.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106798893601 + 2089528070400 = 326801^2 + 1445520^2 .

It is not a de Polignac number, because 2196326964001 - 2¹⁷ = 2196326832929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2196326964011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 588352531 + ... + 588356263.

It is an arithmetic number, because the mean of its divisors is an integer number (244718134129).

Almost surely, 2^{2196326964001} is an apocalyptic number.

2196326964001 is the 1482001-st square number.

2196326964001 is the 741001-st centered octagonal number.

It is an amenable number.

2196326964001 is a deficient number, since it is larger than the sum of its proper divisors (6136243160).

2196326964001 is an frugal number, since it uses more digits than its factorization.

2196326964001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 2196326964001 by its sum of digits (49), we get a square (107620021236049 = 10374007²).

The spelling of 2196326964001 in words is "two trillion, one hundred ninety-six billion, three hundred twenty-six million, nine hundred sixty-four thousand, one".