16667633614416 has 160 divisors (see below), whose sum is σ = 44676234288000. Its totient is φ = 5348238465024.

The previous prime is 16667633614393. The next prime is 16667633614427. The reversal of 16667633614416 is 61441633676661.

16667633614416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16667633614416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940133630 + ... + 2940139298.

It is an arithmetic number, because the mean of its divisors is an integer number (279226464300).

Almost surely, 2^{16667633614416} is an apocalyptic number.

16667633614416 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 16667633614416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22338117144000).

16667633614416 is an abundant number, since it is smaller than the sum of its proper divisors (28008600673584).

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

16667633614416 is a wasteful number, since it uses less digits than its factorization.

16667633614416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11661 (or 11655 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 60.

The spelling of 16667633614416 in words is "sixteen trillion, six hundred sixty-seven billion, six hundred thirty-three million, six hundred fourteen thousand, four hundred sixteen".