221421261760317 has 24 divisors (see below), whose sum is σ = 330148654437888. Its totient is φ = 142852070714400.

The previous prime is 221421261760291. The next prime is 221421261760319. The reversal of 221421261760317 is 713067162124122.

221421261760317 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 1 + 26 + 1 + 7 + 603 + 17 = 666.

It is not a de Polignac number, because 221421261760317 - 2⁶ = 221421261760253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221421261760319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155192563 + ... + 156612815.

It is an arithmetic number, because the mean of its divisors is an integer number (13756193934912).

Almost surely, 2^{221421261760317} is an apocalyptic number.

It is an amenable number.

221421261760317 is a deficient number, since it is larger than the sum of its proper divisors (108727392677571).

221421261760317 is a wasteful number, since it uses less digits than its factorization.

221421261760317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979081 (or 1979078 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 221421261760317 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred sixty-one million, seven hundred sixty thousand, three hundred seventeen".