16864887312 has 640 divisors, whose sum is σ = 63840358400. Its totient is φ = 4138573824.

The previous prime is 16864887271. The next prime is 16864887323. The reversal of 16864887312 is 21378846861.

16864887312 is a `hidden beast` number, since 1 + 6 + 86 + 488 + 73 + 12 = 666.

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

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

Its product of digits (3096576) is a multiple of the sum of its prime divisors (448).

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, 50044008 + ... + 50044344.

It is an arithmetic number, because the mean of its divisors is an integer number (99750560).

Almost surely, 2^16864887312 is an apocalyptic number.

16864887312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16864887312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31920179200).

16864887312 is an abundant number, since it is smaller than the sum of its proper divisors (46975471088).

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

16864887312 is a wasteful number, since it uses less digits than its factorization.

16864887312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 16864887312 in words is "sixteen billion, eight hundred sixty-four million, eight hundred eighty-seven thousand, three hundred twelve".