16311802042368 has 1344 divisors, whose sum is σ = 58200177672000. Its totient is φ = 4564972339200.

The previous prime is 16311802042357. The next prime is 16311802042409. The reversal of 16311802042368 is 86324020811361.

16311802042368 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 1 + 80 + 204 + 2 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27141101268 + ... + 27141101868.

It is an arithmetic number, because the mean of its divisors is an integer number (43303703625).

Almost surely, 2^{16311802042368} is an apocalyptic number.

16311802042368 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 16311802042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100088836000).

16311802042368 is an abundant number, since it is smaller than the sum of its proper divisors (41888375629632).

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

16311802042368 is an frugal number, since it uses more digits than its factorization.

16311802042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16311802042368 in words is "sixteen trillion, three hundred eleven billion, eight hundred two million, forty-two thousand, three hundred sixty-eight".