23121716409 has 40 divisors (see below), whose sum is σ = 37695430080. Its totient is φ = 14007362400.

The previous prime is 23121716407. The next prime is 23121716447. The reversal of 23121716409 is 90461712132.

23121716409 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 1 + 7 + 1 + 640 + 9 = 666.

It is not a de Polignac number, because 23121716409 - 2¹ = 23121716407 is a prime.

It is a super-2 number, since 2×23121716409² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23121716407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3267327 + ... + 3274395.

It is an arithmetic number, because the mean of its divisors is an integer number (942385752).

Almost surely, 2^23121716409 is an apocalyptic number.

It is an amenable number.

23121716409 is a deficient number, since it is larger than the sum of its proper divisors (14573713671).

23121716409 is a wasteful number, since it uses less digits than its factorization.

23121716409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10763 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

It can be divided in two parts, 2312 and 1716409, that added together give a square (1718721 = 1311²).

The spelling of 23121716409 in words is "twenty-three billion, one hundred twenty-one million, seven hundred sixteen thousand, four hundred nine".