20005704314117 has 8 divisors (see below), whose sum is σ = 20299617773400. Its totient is φ = 19712327685120.

The previous prime is 20005704314069. The next prime is 20005704314137. The reversal of 20005704314117 is 71141340750002.

It can be written as a sum of positive squares in 4 ways, for example, as 549541998721 + 19456162315396 = 741311^2 + 4410914^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20005704314117 - 2⁶ = 20005704314053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20005704314137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134132492 + ... + 134281557.

It is an arithmetic number, because the mean of its divisors is an integer number (2537452221675).

Almost surely, 2^{20005704314117} is an apocalyptic number.

It is an amenable number.

20005704314117 is a deficient number, since it is larger than the sum of its proper divisors (293913459283).

20005704314117 is a wasteful number, since it uses less digits than its factorization.

20005704314117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268415143.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 20005704314117 in words is "twenty trillion, five billion, seven hundred four million, three hundred fourteen thousand, one hundred seventeen".