22116121561057 has 16 divisors (see below), whose sum is σ = 23425771601232. Its totient is φ = 20807439851520.

The previous prime is 22116121560979. The next prime is 22116121561063. The reversal of 22116121561057 is 75016512161122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9120738243136 + 12995383317921 = 3020056^2 + 3604911^2 .

It is a cyclic number.

It is not a de Polignac number, because 22116121561057 - 2³¹ = 22113974077409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22116121561067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683571793 + ... + 683604145.

It is an arithmetic number, because the mean of its divisors is an integer number (1464110725077).

Almost surely, 2^{22116121561057} is an apocalyptic number.

It is an amenable number.

22116121561057 is a deficient number, since it is larger than the sum of its proper divisors (1309650040175).

22116121561057 is a wasteful number, since it uses less digits than its factorization.

22116121561057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46068.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 22116121561057 in words is "twenty-two trillion, one hundred sixteen billion, one hundred twenty-one million, five hundred sixty-one thousand, fifty-seven".