2223316634616 has 576 divisors, whose sum is σ = 8011327783680. Its totient is φ = 541032284160.

The previous prime is 2223316634597. The next prime is 2223316634641. The reversal of 2223316634616 is 6164366133222.

2223316634616 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 3 + 1 + 6 + 634 + 6 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363699976 + ... + 363706088.

It is an arithmetic number, because the mean of its divisors is an integer number (13908555180).

Almost surely, 2^{2223316634616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223316634616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005663891840).

2223316634616 is an abundant number, since it is smaller than the sum of its proper divisors (5788011149064).

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

2223316634616 is a wasteful number, since it uses less digits than its factorization.

2223316634616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6380 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 2223316634616 in words is "two trillion, two hundred twenty-three billion, three hundred sixteen million, six hundred thirty-four thousand, six hundred sixteen".