222906133142784 has 1728 divisors, whose sum is σ = 873462879744000. Its totient is φ = 56230802546688.

The previous prime is 222906133142767. The next prime is 222906133142809. The reversal of 222906133142784 is 487241331609222.

222906133142784 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 0 + 6 + 133 + 1 + 427 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 222906133142784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6379848387 + ... + 6379883325.

Almost surely, 2^{222906133142784} is an apocalyptic number.

222906133142784 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 222906133142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436731439872000).

222906133142784 is an abundant number, since it is smaller than the sum of its proper divisors (650556746601216).

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

222906133142784 is an equidigital number, since it uses as much as digits as its factorization.

222906133142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35027 (or 34987 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 222906133142784 in words is "two hundred twenty-two trillion, nine hundred six billion, one hundred thirty-three million, one hundred forty-two thousand, seven hundred eighty-four".