22688293347729 has 45 divisors (see below), whose sum is σ = 34119760470411. Its totient is φ = 15024729573360.

The previous prime is 22688293347659. The next prime is 22688293347751. The reversal of 22688293347729 is 92774339288622.

The square root of 22688293347729 is 4763223.

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

22688293347729 is a `hidden beast` number, since 2 + 2 + 6 + 88 + 29 + 33 + 477 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6650286804225 + 16038006543504 = 2578815^2 + 4004748^2 .

It is not a de Polignac number, because 22688293347729 - 2²⁷ = 22688159130001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22688293347779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6730432414 + ... + 6730435784.

Almost surely, 2^{22688293347729} is an apocalyptic number.

22688293347729 is the 4763223-rd square number.

22688293347729 is the 2381612-nd centered octagonal number.

It is an amenable number.

22688293347729 is a deficient number, since it is larger than the sum of its proper divisors (11431467122682).

22688293347729 is an frugal number, since it uses more digits than its factorization.

22688293347729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 3531 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 22688293347729 in words is "twenty-two trillion, six hundred eighty-eight billion, two hundred ninety-three million, three hundred forty-seven thousand, seven hundred twenty-nine".