19819956943341 has 40 divisors (see below), whose sum is σ = 29624563056440. Its totient is φ = 13205732216832.

The previous prime is 19819956943313. The next prime is 19819956943351. The reversal of 19819956943341 is 14334965991891.

19819956943341 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 9 + 95 + 69 + 433 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6517332900 + 19813439610441 = 80730^2 + 4451229^2 .

It is not a de Polignac number, because 19819956943341 - 2⁹ = 19819956942829 is a prime.

It is a super-2 number, since 2×19819956943341² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19819956943341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19819956943351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1859801085 + ... + 1859811741.

It is an arithmetic number, because the mean of its divisors is an integer number (740614076411).

Almost surely, 2^{19819956943341} is an apocalyptic number.

It is an amenable number.

19819956943341 is a deficient number, since it is larger than the sum of its proper divisors (9804606113099).

19819956943341 is a wasteful number, since it uses less digits than its factorization.

19819956943341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21666 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 72.

The spelling of 19819956943341 in words is "nineteen trillion, eight hundred nineteen billion, nine hundred fifty-six million, nine hundred forty-three thousand, three hundred forty-one".