2113717622769 has 9 divisors (see below), whose sum is σ = 3053153977419. Its totient is φ = 1409142174120.

The previous prime is 2113717622749. The next prime is 2113717622827. The reversal of 2113717622769 is 9672267173112.

The square root of 2113717622769 is 1453863.

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

2113717622769 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 7 + 1 + 7 + 622 + 7 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1536451974369 + 577265648400 = 1239537^2 + 759780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2113717622769 - 2⁷ = 2113717622641 is a prime.

It is a super-2 number, since 2×2113717622769² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113717622749) 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 8 ways as a sum of consecutive naturals, for example, 4119279 + ... + 4603899.

Almost surely, 2^{2113717622769} is an apocalyptic number.

2113717622769 is the 1453863-rd square number.

2113717622769 is the 726932-nd centered octagonal number.

It is an amenable number.

2113717622769 is a deficient number, since it is larger than the sum of its proper divisors (939436354650).

2113717622769 is an frugal number, since it uses more digits than its factorization.

2113717622769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969248 (or 484624 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 2113717622769 in words is "two trillion, one hundred thirteen billion, seven hundred seventeen million, six hundred twenty-two thousand, seven hundred sixty-nine".