22906142721 has 96 divisors (see below), whose sum is σ = 44018657280. Its totient is φ = 11118124800.

The previous prime is 22906142717. The next prime is 22906142747. The reversal of 22906142721 is 12724160922.

22906142721 is a `hidden beast` number, since 229 + 0 + 6 + 1 + 427 + 2 + 1 = 666.

It is not a de Polignac number, because 22906142721 - 2² = 22906142717 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22906142711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949276 + ... + 973106.

It is an arithmetic number, because the mean of its divisors is an integer number (458527680).

It is a Proth number, since it is equal to 21845 ⋅ 2²⁰ + 1 and 21845 < 2²⁰.

Almost surely, 2^22906142721 is an apocalyptic number.

22906142721 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

22906142721 is the 87381-st octagonal number.

It is an amenable number.

22906142721 is a deficient number, since it is larger than the sum of its proper divisors (21112514559).

22906142721 is a wasteful number, since it uses less digits than its factorization.

22906142721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23947 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22906142721 in words is "twenty-two billion, nine hundred six million, one hundred forty-two thousand, seven hundred twenty-one".