13722168507201 has 72 divisors (see below), whose sum is σ = 25766555619168. Its totient is φ = 6954535728000.

The previous prime is 13722168507199. The next prime is 13722168507211. The reversal of 13722168507201 is 10270586122731.

13722168507201 is a `hidden beast` number, since 1 + 372 + 2 + 168 + 50 + 72 + 0 + 1 = 666.

It is not a de Polignac number, because 13722168507201 - 2¹ = 13722168507199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13722168507211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34297815 + ... + 34695596.

It is an arithmetic number, because the mean of its divisors is an integer number (357868828044).

Almost surely, 2^{13722168507201} is an apocalyptic number.

13722168507201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13722168507201 is a deficient number, since it is larger than the sum of its proper divisors (12044387111967).

13722168507201 is a wasteful number, since it uses less digits than its factorization.

13722168507201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68993483 (or 68993473 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 13722168507201 in words is "thirteen trillion, seven hundred twenty-two billion, one hundred sixty-eight million, five hundred seven thousand, two hundred one".