16947959746288 has 80 divisors (see below), whose sum is σ = 34584392082240. Its totient is φ = 8029862387712.

The previous prime is 16947959746283. The next prime is 16947959746309. The reversal of 16947959746288 is 88264795974961.

16947959746288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16947959746283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270042720 + ... + 270105472.

It is an arithmetic number, because the mean of its divisors is an integer number (432304901028).

Almost surely, 2^{16947959746288} 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 16947959746288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292196041120).

16947959746288 is an abundant number, since it is smaller than the sum of its proper divisors (17636432335952).

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

16947959746288 is a wasteful number, since it uses less digits than its factorization.

16947959746288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69626 (or 69620 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 85.

The spelling of 16947959746288 in words is "sixteen trillion, nine hundred forty-seven billion, nine hundred fifty-nine million, seven hundred forty-six thousand, two hundred eighty-eight".