2216634164016 has 80 divisors (see below), whose sum is σ = 5800241141760. Its totient is φ = 729342581760.

The previous prime is 2216634164009. The next prime is 2216634164029. The reversal of 2216634164016 is 6104614366122.

It is a super-2 number, since 2×2216634164016² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15517816 + ... + 15660008.

It is an arithmetic number, because the mean of its divisors is an integer number (72503014272).

Almost surely, 2^{2216634164016} 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 2216634164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900120570880).

2216634164016 is an abundant number, since it is smaller than the sum of its proper divisors (3583606977744).

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

2216634164016 is a wasteful number, since it uses less digits than its factorization.

2216634164016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146394 (or 146388 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2216634164016 in words is "two trillion, two hundred sixteen billion, six hundred thirty-four million, one hundred sixty-four thousand, sixteen".