22656467134161 has 243 divisors, whose sum is σ = 41260035366459. Its totient is φ = 11942807982336.

The previous prime is 22656467134079. The next prime is 22656467134181. The reversal of 22656467134161 is 16143176465622.

The square root of 22656467134161 is 4759881.

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

22656467134161 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 6 + 467 + 13 + 4 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17639118011025 + 5017349123136 = 4199895^2 + 2239944^2 .

It is not a de Polignac number, because 22656467134161 - 2⁷ = 22656467134033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22656467134098 and 22656467134107.

It is not an unprimeable number, because it can be changed into a prime (22656467134181) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 113851593540 + ... + 113851593738.

Almost surely, 2^{22656467134161} is an apocalyptic number.

22656467134161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22656467134161 is the 4759881-st square number.

22656467134161 is the 2379941-st centered octagonal number.

It is an amenable number.

22656467134161 is a deficient number, since it is larger than the sum of its proper divisors (18603568232298).

22656467134161 is an equidigital number, since it uses as much as digits as its factorization.

22656467134161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 22656467134161 in words is "twenty-two trillion, six hundred fifty-six billion, four hundred sixty-seven million, one hundred thirty-four thousand, one hundred sixty-one".