16382626427313 has 24 divisors (see below), whose sum is σ = 25056055777896. Its totient is φ = 10279182528000.

The previous prime is 16382626427291. The next prime is 16382626427359. The reversal of 16382626427313 is 31372462628361.

16382626427313 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 2 + 626 + 4 + 2 + 7 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11048896224144 + 5333730203169 = 3323988^2 + 2309487^2 .

It is not a de Polignac number, because 16382626427313 - 2³³ = 16374036492721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16382626427313.

It is not an unprimeable number, because it can be changed into a prime (16382626427113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14748943 + ... + 15820763.

It is an arithmetic number, because the mean of its divisors is an integer number (1044002324079).

Almost surely, 2^{16382626427313} is an apocalyptic number.

It is an amenable number.

16382626427313 is a deficient number, since it is larger than the sum of its proper divisors (8673429350583).

16382626427313 is a wasteful number, since it uses less digits than its factorization.

16382626427313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171745 (or 1171742 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 16382626427313 in words is "sixteen trillion, three hundred eighty-two billion, six hundred twenty-six million, four hundred twenty-seven thousand, three hundred thirteen".