222894686416896 has 312 divisors, whose sum is σ = 704732225580656. Its totient is φ = 67458660433920.

The previous prime is 222894686416891. The next prime is 222894686416903. The reversal of 222894686416896 is 698614686498222.

222894686416896 is a `hidden beast` number, since 2 + 2 + 2 + 8 + 9 + 46 + 86 + 416 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×222894686416896² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (222894686416891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25420791 + ... + 33045513.

Almost surely, 2^{222894686416896} is an apocalyptic number.

222894686416896 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 222894686416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352366112790328).

222894686416896 is an abundant number, since it is smaller than the sum of its proper divisors (481837539163760).

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

222894686416896 is a wasteful number, since it uses less digits than its factorization.

222894686416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7624827 (or 7624802 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 81.

The spelling of 222894686416896 in words is "two hundred twenty-two trillion, eight hundred ninety-four billion, six hundred eighty-six million, four hundred sixteen thousand, eight hundred ninety-six".