22164067505601 has 12 divisors (see below), whose sum is σ = 36588301914112. Its totient is φ = 12665181431736.

The previous prime is 22164067505491. The next prime is 22164067505603. The reversal of 22164067505601 is 10650576046122.

22164067505601 is a `hidden beast` number, since 2 + 2 + 16 + 4 + 0 + 6 + 75 + 0 + 560 + 1 = 666.

It is not a de Polignac number, because 22164067505601 - 2²¹ = 22164065408449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22164067505603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175905297601 + ... + 175905297726.

Almost surely, 2^{22164067505601} is an apocalyptic number.

22164067505601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22164067505601 is a deficient number, since it is larger than the sum of its proper divisors (14424234408511).

22164067505601 is a wasteful number, since it uses less digits than its factorization.

22164067505601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351810595340 (or 351810595337 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 22164067505601 in words is "twenty-two trillion, one hundred sixty-four billion, sixty-seven million, five hundred five thousand, six hundred one".