22671777497121 has 27 divisors (see below), whose sum is σ = 33245599620051. Its totient is φ = 14888299989024.

The previous prime is 22671777497087. The next prime is 22671777497141. The reversal of 22671777497121 is 12179477717622.

The square root of 22671777497121 is 4761489.

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

22671777497121 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 17 + 7 + 7 + 497 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 549805937121 + 22121971560000 = 741489^2 + 4703400^2 .

It is not a de Polignac number, because 22671777497121 - 2⁹ = 22671777496609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22671777497141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 957047445 + ... + 957071133.

Almost surely, 2^{22671777497121} is an apocalyptic number.

22671777497121 is the 4761489-th square number.

22671777497121 is the 2380745-th centered octagonal number.

It is an amenable number.

22671777497121 is a deficient number, since it is larger than the sum of its proper divisors (10573822122930).

22671777497121 is an frugal number, since it uses more digits than its factorization.

22671777497121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47518 (or 23759 counting only the distinct ones).

The product of its digits is 29042496, while the sum is 63.

The spelling of 22671777497121 in words is "twenty-two trillion, six hundred seventy-one billion, seven hundred seventy-seven million, four hundred ninety-seven thousand, one hundred twenty-one".