16857038801664 has 288 divisors, whose sum is σ = 50911432824000. Its totient is φ = 5569266253824.

The previous prime is 16857038801651. The next prime is 16857038801683. The reversal of 16857038801664 is 46610883075861.

16857038801664 is a `hidden beast` number, since 16 + 8 + 570 + 38 + 8 + 0 + 16 + 6 + 4 = 666.

16857038801664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 63132312 + ... + 63398760.

Almost surely, 2^{16857038801664} 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 16857038801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455716412000).

16857038801664 is an abundant number, since it is smaller than the sum of its proper divisors (34054394022336).

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

16857038801664 is an frugal number, since it uses more digits than its factorization.

16857038801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266599 (or 266567 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 16857038801664 in words is "sixteen trillion, eight hundred fifty-seven billion, thirty-eight million, eight hundred one thousand, six hundred sixty-four".