1816417222016 has 128 divisors (see below), whose sum is σ = 3774345984000. Its totient is φ = 869759815680.

The previous prime is 1816417222007. The next prime is 1816417222063. The reversal of 1816417222016 is 6102227146181.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 547276805 + ... + 547280123.

It is an arithmetic number, because the mean of its divisors is an integer number (29487078000).

Almost surely, 2^{1816417222016} is an apocalyptic number.

1816417222016 is a gapful number since it is divisible by the number (16) 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 1816417222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887172992000).

1816417222016 is an abundant number, since it is smaller than the sum of its proper divisors (1957928761984).

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

1816417222016 is a wasteful number, since it uses less digits than its factorization.

1816417222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 1816417222016 in words is "one trillion, eight hundred sixteen billion, four hundred seventeen million, two hundred twenty-two thousand, sixteen".