222242614114752 has 448 divisors, whose sum is σ = 816336074695680. Its totient is φ = 57600120729600.

The previous prime is 222242614114751. The next prime is 222242614114771. The reversal of 222242614114752 is 257411416242222.

222242614114752 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 426 + 141 + 14 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 222242614114698 and 222242614114707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222242614114751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59527218 + ... + 63150414.

It is an arithmetic number, because the mean of its divisors is an integer number (1822178738160).

Almost surely, 2^{222242614114752} is an apocalyptic number.

222242614114752 is a gapful number since it is divisible by the number (22) 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 222242614114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408168037347840).

222242614114752 is an abundant number, since it is smaller than the sum of its proper divisors (594093460580928).

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

222242614114752 is a wasteful number, since it uses less digits than its factorization.

222242614114752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623697 (or 3623681 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 222242614114752 in words is "two hundred twenty-two trillion, two hundred forty-two billion, six hundred fourteen million, one hundred fourteen thousand, seven hundred fifty-two".