221751011349 has 48 divisors (see below), whose sum is σ = 376096032000. Its totient is φ = 123245141760.

The previous prime is 221751011311. The next prime is 221751011387. The reversal of 221751011349 is 943110157122.

It is a happy number.

221751011349 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 510 + 1 + 134 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (221751011311) and next prime (221751011387).

It is not a de Polignac number, because 221751011349 - 2⁹ = 221751010837 is a prime.

It is a super-2 number, since 2×221751011349² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221751011399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6974809 + ... + 7006529.

It is an arithmetic number, because the mean of its divisors is an integer number (7835334000).

Almost surely, 2^221751011349 is an apocalyptic number.

It is an amenable number.

221751011349 is a deficient number, since it is larger than the sum of its proper divisors (154345020651).

221751011349 is a wasteful number, since it uses less digits than its factorization.

221751011349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34770 (or 34767 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 221751011349 in words is "two hundred twenty-one billion, seven hundred fifty-one million, eleven thousand, three hundred forty-nine".