221314181413122 has 96 divisors (see below), whose sum is σ = 571856906080512. Its totient is φ = 60481892477952.

The previous prime is 221314181413057. The next prime is 221314181413141.

221314181413122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 41 + 81 + 413 + 122 = 666.

221314181413122 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119688558 + ... + 121523574.

It is an arithmetic number, because the mean of its divisors is an integer number (5956842771672).

Almost surely, 2^{221314181413122} is an apocalyptic number.

221314181413122 is an abundant number, since it is smaller than the sum of its proper divisors (350542724667390).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221314181413122 is a wasteful number, since it uses less digits than its factorization.

221314181413122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876672 (or 1876669 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 221314181413122 in words is "two hundred twenty-one trillion, three hundred fourteen billion, one hundred eighty-one million, four hundred thirteen thousand, one hundred twenty-two".