22634881457769 has 27 divisors (see below), whose sum is σ = 38032927876983. Its totient is φ = 12934160884512.

The previous prime is 22634881457767. The next prime is 22634881457831. The reversal of 22634881457769 is 96775418843622.

The square root of 22634881457769 is 4757613.

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

22634881457769 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 48 + 8 + 1 + 4 + 577 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19378704515625 + 3256176942144 = 4402125^2 + 1804488^2 .

It is not a de Polignac number, because 22634881457769 - 2¹ = 22634881457767 is a prime.

It is a super-2 number, since 2×22634881457769² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22634881457697 and 22634881457706.

It is not an unprimeable number, because it can be changed into a prime (22634881457761) 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 26 ways as a sum of consecutive naturals, for example, 99796597 + ... + 100023149.

Almost surely, 2^{22634881457769} is an apocalyptic number.

22634881457769 is the 4757613-rd square number.

22634881457769 is the 2378807-th centered octagonal number.

It is an amenable number.

22634881457769 is a deficient number, since it is larger than the sum of its proper divisors (15398046419214).

22634881457769 is an frugal number, since it uses more digits than its factorization.

22634881457769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453126 (or 226563 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 22634881457769 in words is "twenty-two trillion, six hundred thirty-four billion, eight hundred eighty-one million, four hundred fifty-seven thousand, seven hundred sixty-nine".