222444634238064 has 480 divisors, whose sum is σ = 761557241502720. Its totient is φ = 59164452200448.

The previous prime is 222444634238059. The next prime is 222444634238077. The reversal of 222444634238064 is 460832436444222.

222444634238064 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 4 + 463 + 42 + 3 + 80 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 222444634238064.

It is a congruent number.

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, 1463115619 + ... + 1463267645.

It is an arithmetic number, because the mean of its divisors is an integer number (1586577586464).

Almost surely, 2^{222444634238064} is an apocalyptic number.

222444634238064 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 222444634238064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380778620751360).

222444634238064 is an abundant number, since it is smaller than the sum of its proper divisors (539112607264656).

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

222444634238064 is a wasteful number, since it uses less digits than its factorization.

222444634238064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152997 (or 152988 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 54.

The spelling of 222444634238064 in words is "two hundred twenty-two trillion, four hundred forty-four billion, six hundred thirty-four million, two hundred thirty-eight thousand, sixty-four".