16314869314752 has 224 divisors, whose sum is σ = 44218365004800. Its totient is φ = 5307675648000.

The previous prime is 16314869314741. The next prime is 16314869314759. The reversal of 16314869314752 is 25741396841361.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16314869314759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571254649 + ... + 571283207.

It is an arithmetic number, because the mean of its divisors is an integer number (197403415200).

Almost surely, 2^{16314869314752} is an apocalyptic number.

16314869314752 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 16314869314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109182502400).

16314869314752 is an abundant number, since it is smaller than the sum of its proper divisors (27903495690048).

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

16314869314752 is a wasteful number, since it uses less digits than its factorization.

16314869314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29095 (or 29085 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 16314869314752 in words is "sixteen trillion, three hundred fourteen billion, eight hundred sixty-nine million, three hundred fourteen thousand, seven hundred fifty-two".