222729321024 has 672 divisors, whose sum is σ = 782843443200. Its totient is φ = 61466480640.

The previous prime is 222729321019. The next prime is 222729321037. The reversal of 222729321024 is 420123927222.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 222729321024.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620415757 + ... + 620416115.

It is an arithmetic number, because the mean of its divisors is an integer number (1164945600).

Almost surely, 2^222729321024 is an apocalyptic number.

222729321024 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 222729321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391421721600).

222729321024 is an abundant number, since it is smaller than the sum of its proper divisors (560114122176).

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

222729321024 is a wasteful number, since it uses less digits than its factorization.

222729321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 222729321024 in words is "two hundred twenty-two billion, seven hundred twenty-nine million, three hundred twenty-one thousand, twenty-four".