22016434146601 has 16 divisors (see below), whose sum is σ = 22260972517200. Its totient is φ = 21772430176000.

The previous prime is 22016434146547. The next prime is 22016434146683. The reversal of 22016434146601 is 10664143461022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9799654593600 + 12216779553001 = 3130440^2 + 3495251^2 .

It is a cyclic number.

It is not a de Polignac number, because 22016434146601 - 2⁹ = 22016434146089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22016434146691) 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 15 ways as a sum of consecutive naturals, for example, 340205235 + ... + 340269943.

It is an arithmetic number, because the mean of its divisors is an integer number (1391310782325).

Almost surely, 2^{22016434146601} is an apocalyptic number.

It is an amenable number.

22016434146601 is a deficient number, since it is larger than the sum of its proper divisors (244538370599).

22016434146601 is a wasteful number, since it uses less digits than its factorization.

22016434146601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68780.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 22016434146601 in words is "twenty-two trillion, sixteen billion, four hundred thirty-four million, one hundred forty-six thousand, six hundred one".