19214006516217 has 16 divisors (see below), whose sum is σ = 28491143100480. Its totient is φ = 12797660959776.

The previous prime is 19214006516209. The next prime is 19214006516233. The reversal of 19214006516217 is 71261560041291.

19214006516217 is a `hidden beast` number, since 1 + 9 + 2 + 14 + 0 + 0 + 6 + 5 + 1 + 621 + 7 = 666.

It is not a de Polignac number, because 19214006516217 - 2³ = 19214006516209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (19214006516267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324323103 + ... + 324382340.

It is an arithmetic number, because the mean of its divisors is an integer number (1780696443780).

Almost surely, 2^{19214006516217} is an apocalyptic number.

It is an amenable number.

19214006516217 is a deficient number, since it is larger than the sum of its proper divisors (9277136584263).

19214006516217 is a wasteful number, since it uses less digits than its factorization.

19214006516217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648706549 (or 648706543 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 19214006516217 in words is "nineteen trillion, two hundred fourteen billion, six million, five hundred sixteen thousand, two hundred seventeen".