222614427949056 has 2304 divisors, whose sum is σ = 832320792576000. Its totient is φ = 58956940247040.

The previous prime is 222614427949013. The next prime is 222614427949097. The reversal of 222614427949056 is 650949724416222.

222614427949056 is a `hidden beast` number, since 2 + 2 + 2 + 614 + 4 + 2 + 7 + 9 + 4 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×222614427949056² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222614427948984 and 222614427949002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133863154881 + ... + 133863156543.

It is an arithmetic number, because the mean of its divisors is an integer number (361250344000).

Almost surely, 2^{222614427949056} is an apocalyptic number.

222614427949056 is a gapful number since it is divisible by the number (26) 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 222614427949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416160396288000).

222614427949056 is an abundant number, since it is smaller than the sum of its proper divisors (609706364626944).

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

222614427949056 is a wasteful number, since it uses less digits than its factorization.

222614427949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 222614427949056 in words is "two hundred twenty-two trillion, six hundred fourteen billion, four hundred twenty-seven million, nine hundred forty-nine thousand, fifty-six".