2322868617216 has 825 divisors, whose sum is σ = 8129262446291. Its totient is φ = 663676747776.

The previous prime is 2322868617149. The next prime is 2322868617221. The reversal of 2322868617216 is 6127168682232.

The square root of 2322868617216 is 1524096.

It is a perfect power (a square), and thus also a powerful number.

2322868617216 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 8 + 6 + 8 + 617 + 2 + 16 = 666.

It is a super-2 number, since 2×2322868617216² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 331838373885 + ... + 331838373891.

Almost surely, 2^{2322868617216} is an apocalyptic number.

2322868617216 is the 1524096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322868617216

2322868617216 is an abundant number, since it is smaller than the sum of its proper divisors (5806393829075).

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

2322868617216 is an frugal number, since it uses more digits than its factorization.

2322868617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 12 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 2322868617216 in words is "two trillion, three hundred twenty-two billion, eight hundred sixty-eight million, six hundred seventeen thousand, two hundred sixteen".