2117348022321 has 63 divisors (see below), whose sum is σ = 3693346634601. Its totient is φ = 1209756003624.

The previous prime is 2117348022311. The next prime is 2117348022323. The reversal of 2117348022321 is 1232208437112.

The square root of 2117348022321 is 1455111.

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

2117348022321 is a `hidden beast` number, since 2 + 1 + 173 + 480 + 2 + 2 + 3 + 2 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 2117348022321 - 2⁵ = 2117348022289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2117348022323) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 275012130 + ... + 275019828.

Almost surely, 2^{2117348022321} is an apocalyptic number.

2117348022321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2117348022321 is the 1455111-st square number.

2117348022321 is the 727556-th centered octagonal number.

It is an amenable number.

2117348022321 is a deficient number, since it is larger than the sum of its proper divisors (1575998612280).

2117348022321 is an frugal number, since it uses more digits than its factorization.

2117348022321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 2117348022321 by its sum of digits (36), we get a square (76224528803556 = 8730666²).

The spelling of 2117348022321 in words is "two trillion, one hundred seventeen billion, three hundred forty-eight million, twenty-two thousand, three hundred twenty-one".