22416377841 has 81 divisors (see below), whose sum is σ = 38649431457. Its totient is φ = 12504697920.

The previous prime is 22416377833. The next prime is 22416377869. The reversal of 22416377841 is 14877361422.

The square root of 22416377841 is 149721.

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

22416377841 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 637 + 7 + 8 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 481583025 + 21934794816 = 21945^2 + 148104^2 .

It is not a de Polignac number, because 22416377841 - 2³ = 22416377833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22416377891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64230135 + ... + 64230483.

Almost surely, 2^22416377841 is an apocalyptic number.

22416377841 is the 149721-st square number.

22416377841 is the 74861-st centered octagonal number.

It is an amenable number.

22416377841 is a deficient number, since it is larger than the sum of its proper divisors (16233053616).

22416377841 is a wasteful number, since it uses less digits than its factorization.

22416377841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 22416377841 in words is "twenty-two billion, four hundred sixteen million, three hundred seventy-seven thousand, eight hundred forty-one".