19166313320448 has 416 divisors, whose sum is σ = 59731497964800. Its totient is φ = 5352451473408.

The previous prime is 19166313320387. The next prime is 19166313320471. The reversal of 19166313320448 is 84402331366191.

It is a self number, because there is not a number n which added to its sum of digits gives 19166313320448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226322298 + ... + 1226337926.

Almost surely, 2^{19166313320448} 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 19166313320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29865748982400).

19166313320448 is an abundant number, since it is smaller than the sum of its proper divisors (40565184644352).

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

19166313320448 is a wasteful number, since it uses less digits than its factorization.

19166313320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15985 (or 15963 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 19166313320448 in words is "nineteen trillion, one hundred sixty-six billion, three hundred thirteen million, three hundred twenty thousand, four hundred forty-eight".