16662105686016 has 912 divisors, whose sum is σ = 58095193896000. Its totient is φ = 4705606434816.

The previous prime is 16662105685999. The next prime is 16662105686027. The reversal of 16662105686016 is 61068650126661.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37109366560 + ... + 37109367008.

It is an arithmetic number, because the mean of its divisors is an integer number (63700870500).

Almost surely, 2^{16662105686016} is an apocalyptic number.

16662105686016 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 16662105686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29047596948000).

16662105686016 is an abundant number, since it is smaller than the sum of its proper divisors (41433088209984).

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

16662105686016 is an frugal number, since it uses more digits than its factorization.

16662105686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16662105686016 in words is "sixteen trillion, six hundred sixty-two billion, one hundred five million, six hundred eighty-six thousand, sixteen".