16705488662016 has 1280 divisors, whose sum is σ = 61820751218688. Its totient is φ = 3875851468800.

The previous prime is 16705488662003. The next prime is 16705488662021. The reversal of 16705488662016 is 61026688450761.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3050113870 + ... + 3050119346.

Almost surely, 2^{16705488662016} is an apocalyptic number.

16705488662016 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 16705488662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30910375609344).

16705488662016 is an abundant number, since it is smaller than the sum of its proper divisors (45115262556672).

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

16705488662016 is a wasteful number, since it uses less digits than its factorization.

16705488662016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 16705488662016 in words is "sixteen trillion, seven hundred five billion, four hundred eighty-eight million, six hundred sixty-two thousand, sixteen".