222424266314880 has 5760 divisors, whose sum is σ = 1035540916819200. Its totient is φ = 45214685429760.

The previous prime is 222424266314819. The next prime is 222424266314891. The reversal of 222424266314880 is 88413662424222.

222424266314880 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 242 + 6 + 6 + 314 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

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 719 ways as a sum of consecutive naturals, for example, 3132736145245 + ... + 3132736145315.

It is an arithmetic number, because the mean of its divisors is an integer number (179781409170).

Almost surely, 2^{222424266314880} is an apocalyptic number.

222424266314880 is a gapful number since it is divisible by the number (20) 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 222424266314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517770458409600).

222424266314880 is an abundant number, since it is smaller than the sum of its proper divisors (813116650504320).

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

222424266314880 is a wasteful number, since it uses less digits than its factorization.

222424266314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 222424266314880 in words is "two hundred twenty-two trillion, four hundred twenty-four billion, two hundred sixty-six million, three hundred fourteen thousand, eight hundred eighty".