21681227713167 has 64 divisors (see below), whose sum is σ = 35104422297600. Its totient is φ = 13116133870560.

The previous prime is 21681227713151. The next prime is 21681227713177. The reversal of 21681227713167 is 76131772218612.

21681227713167 is a `hidden beast` number, since 21 + 6 + 81 + 227 + 7 + 1 + 316 + 7 = 666.

It is not a de Polignac number, because 21681227713167 - 2⁴ = 21681227713151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21681227713177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517393738 + ... + 517435640.

It is an arithmetic number, because the mean of its divisors is an integer number (548506598400).

Almost surely, 2^{21681227713167} is an apocalyptic number.

21681227713167 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21681227713167 is a deficient number, since it is larger than the sum of its proper divisors (13423194584433).

21681227713167 is a wasteful number, since it uses less digits than its factorization.

21681227713167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45065 (or 45059 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

Subtracting 21681227713167 from its reverse (76131772218612), we obtain a palindrome (54450544505445).

The spelling of 21681227713167 in words is "twenty-one trillion, six hundred eighty-one billion, two hundred twenty-seven million, seven hundred thirteen thousand, one hundred sixty-seven".