16864834848 has 96 divisors (see below), whose sum is σ = 44731717632. Its totient is φ = 5563296000.

The previous prime is 16864834813. The next prime is 16864834859. The reversal of 16864834848 is 84843846861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16864834791 and 16864834800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4100313 + ... + 4104423.

It is an arithmetic number, because the mean of its divisors is an integer number (465955392).

Almost surely, 2^16864834848 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 16864834848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22365858816).

16864834848 is an abundant number, since it is smaller than the sum of its proper divisors (27866882784).

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

16864834848 is a wasteful number, since it uses less digits than its factorization.

16864834848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4558 (or 4550 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The spelling of 16864834848 in words is "sixteen billion, eight hundred sixty-four million, eight hundred thirty-four thousand, eight hundred forty-eight".