221964315344 has 20 divisors (see below), whose sum is σ = 455353265124. Its totient is φ = 104453795328.

The previous prime is 221964315323. The next prime is 221964315383. The reversal of 221964315344 is 443513469122.

221964315344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 94072250944 + 127892064400 = 306712^2 + 357620^2 .

It is a super-2 number, since 2×221964315344² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221964315295 and 221964315304.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 408022367 + ... + 408022910.

Almost surely, 2^221964315344 is an apocalyptic number.

It is an amenable number.

221964315344 is an abundant number, since it is smaller than the sum of its proper divisors (233388949780).

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

221964315344 is a wasteful number, since it uses less digits than its factorization.

221964315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816045302 (or 816045296 counting only the distinct ones).

The product of its digits is 622080, while the sum is 44.

The spelling of 221964315344 in words is "two hundred twenty-one billion, nine hundred sixty-four million, three hundred fifteen thousand, three hundred forty-four".