16835281314768 has 640 divisors, whose sum is σ = 57955193487360. Its totient is φ = 4574912348160.

The previous prime is 16835281314763. The next prime is 16835281314829. The reversal of 16835281314768 is 86741318253861.

It is a happy number.

16835281314768 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 5 + 28 + 131 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16835281314763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11367508588 + ... + 11367510068.

It is an arithmetic number, because the mean of its divisors is an integer number (90554989824).

Almost surely, 2^{16835281314768} is an apocalyptic number.

16835281314768 is a gapful number since it is divisible by the number (18) 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 16835281314768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28977596743680).

16835281314768 is an abundant number, since it is smaller than the sum of its proper divisors (41119912172592).

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

16835281314768 is a wasteful number, since it uses less digits than its factorization.

16835281314768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2332 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 16835281314768 in words is "sixteen trillion, eight hundred thirty-five billion, two hundred eighty-one million, three hundred fourteen thousand, seven hundred sixty-eight".