16122307296768 has 160 divisors (see below), whose sum is σ = 44342279055360. Its totient is φ = 5200048250880.

The previous prime is 16122307296751. The next prime is 16122307296811. The reversal of 16122307296768 is 86769270322161.

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 15 ways as a sum of consecutive naturals, for example, 449334253 + ... + 449370131.

It is an arithmetic number, because the mean of its divisors is an integer number (277139244096).

Almost surely, 2^{16122307296768} 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 16122307296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171139527680).

16122307296768 is an abundant number, since it is smaller than the sum of its proper divisors (28219971758592).

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

16122307296768 is an equidigital number, since it uses as much as digits as its factorization.

16122307296768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45368 (or 45352 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 16122307296768 in words is "sixteen trillion, one hundred twenty-two billion, three hundred seven million, two hundred ninety-six thousand, seven hundred sixty-eight".