16846239348864 has 384 divisors, whose sum is σ = 51827286014400. Its totient is φ = 5236675411968.

The previous prime is 16846239348853. The next prime is 16846239348871. The reversal of 16846239348864 is 46884393264861.

16846239348864 is a `hidden beast` number, since 1 + 6 + 8 + 46 + 239 + 348 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 16846239348792 and 16846239348801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2570764212 + ... + 2570770764.

Almost surely, 2^{16846239348864} 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 16846239348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25913643007200).

16846239348864 is an abundant number, since it is smaller than the sum of its proper divisors (34981046665536).

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

16846239348864 is a wasteful number, since it uses less digits than its factorization.

16846239348864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8397 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 16846239348864 in words is "sixteen trillion, eight hundred forty-six billion, two hundred thirty-nine million, three hundred forty-eight thousand, eight hundred sixty-four".