221989912704 has 768 divisors, whose sum is σ = 812657664000. Its totient is φ = 56727724032.

The previous prime is 221989912691. The next prime is 221989912709. The reversal of 221989912704 is 407219989122.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (221989912709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208832877 + ... + 208833939.

It is an arithmetic number, because the mean of its divisors is an integer number (1058148000).

Almost surely, 2^221989912704 is an apocalyptic number.

221989912704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221989912704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406328832000).

221989912704 is an abundant number, since it is smaller than the sum of its proper divisors (590667751296).

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

221989912704 is a wasteful number, since it uses less digits than its factorization.

221989912704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 221989912704 in words is "two hundred twenty-one billion, nine hundred eighty-nine million, nine hundred twelve thousand, seven hundred four".