16864843842 has 256 divisors, whose sum is σ = 47687270400. Its totient is φ = 4291418880.

The previous prime is 16864843813. The next prime is 16864843883. The reversal of 16864843842 is 24834846861.

It is a happy number.

16864843842 is a `hidden beast` number, since 1 + 6 + 86 + 484 + 3 + 84 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

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, 57559048 + ... + 57559340.

It is an arithmetic number, because the mean of its divisors is an integer number (186278400).

Almost surely, 2^16864843842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16864843842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843635200).

16864843842 is an abundant number, since it is smaller than the sum of its proper divisors (30822426558).

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

16864843842 is a wasteful number, since it uses less digits than its factorization.

16864843842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 16864843842 in words is "sixteen billion, eight hundred sixty-four million, eight hundred forty-three thousand, eight hundred forty-two".