16895412864 has 768 divisors, whose sum is σ = 60949324800. Its totient is φ = 4598415360.

The previous prime is 16895412857. The next prime is 16895412901. The reversal of 16895412864 is 46821459861.

16895412864 is a `hidden beast` number, since 1 + 68 + 95 + 412 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16895412864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149516872 + ... + 149516984.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 2^16895412864 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 16895412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

16895412864 is an abundant number, since it is smaller than the sum of its proper divisors (44053911936).

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

16895412864 is a wasteful number, since it uses less digits than its factorization.

16895412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 16895412864 in words is "sixteen billion, eight hundred ninety-five million, four hundred twelve thousand, eight hundred sixty-four".