16271008032864 has 192 divisors, whose sum is σ = 47595435148800. Its totient is φ = 4835088986112.

The previous prime is 16271008032863. The next prime is 16271008032893. The reversal of 16271008032864 is 46823080017261.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16271008032863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3072717 + ... + 6479475.

It is an arithmetic number, because the mean of its divisors is an integer number (247892891400).

Almost surely, 2^{16271008032864} 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 16271008032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23797717574400).

16271008032864 is an abundant number, since it is smaller than the sum of its proper divisors (31324427115936).

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

16271008032864 is a wasteful number, since it uses less digits than its factorization.

16271008032864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406917 (or 3406909 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 16271008032864 in words is "sixteen trillion, two hundred seventy-one billion, eight million, thirty-two thousand, eight hundred sixty-four".