222555680815104 has 3456 divisors, whose sum is σ = 866054052864000. Its totient is φ = 56240459218944.

The previous prime is 222555680815079. The next prime is 222555680815121. The reversal of 222555680815104 is 401518086555222.

222555680815104 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 556 + 8 + 0 + 81 + 5 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1752406935489 + ... + 1752406935615.

It is an arithmetic number, because the mean of its divisors is an integer number (250594344000).

Almost surely, 2^{222555680815104} is an apocalyptic number.

222555680815104 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 222555680815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433027026432000).

222555680815104 is an abundant number, since it is smaller than the sum of its proper divisors (643498372048896).

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

222555680815104 is a wasteful number, since it uses less digits than its factorization.

222555680815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 222555680815104 in words is "two hundred twenty-two trillion, five hundred fifty-five billion, six hundred eighty million, eight hundred fifteen thousand, one hundred four".