22716216961 has 9 divisors (see below), whose sum is σ = 23750444739. Its totient is φ = 21725239536.

The previous prime is 22716216947. The next prime is 22716216967. The reversal of 22716216961 is 16961261722.

The square root of 22716216961 is 150719.

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

It can be written as a sum of positive squares in only one way, i.e., 7699185025 + 15017031936 = 87745^2 + 122544^2 .

It is not a de Polignac number, because 22716216961 - 2¹³ = 22716208769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22716216967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3463261 + ... + 3469813.

Almost surely, 2^22716216961 is an apocalyptic number.

22716216961 is the 150719-th square number.

22716216961 is the 75360-th centered octagonal number.

It is an amenable number.

22716216961 is a deficient number, since it is larger than the sum of its proper divisors (1034227778).

22716216961 is an frugal number, since it uses more digits than its factorization.

22716216961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152 (or 6576 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The spelling of 22716216961 in words is "twenty-two billion, seven hundred sixteen million, two hundred sixteen thousand, nine hundred sixty-one".