20117105643537 has 96 divisors (see below), whose sum is σ = 36327483279360. Its totient is φ = 10479079296000.

The previous prime is 20117105643491. The next prime is 20117105643577. The reversal of 20117105643537 is 73534650171102.

20117105643537 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 105 + 6 + 4 + 3 + 537 = 666.

It is not a de Polignac number, because 20117105643537 - 2¹⁵ = 20117105610769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20117105643492 and 20117105643501.

It is not an unprimeable number, because it can be changed into a prime (20117105643577) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2009514 + ... + 6653747.

It is an arithmetic number, because the mean of its divisors is an integer number (378411284160).

Almost surely, 2^{20117105643537} is an apocalyptic number.

It is an amenable number.

20117105643537 is a deficient number, since it is larger than the sum of its proper divisors (16210377635823).

20117105643537 is a wasteful number, since it uses less digits than its factorization.

20117105643537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8663375 (or 8663372 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 20117105643537 in words is "twenty trillion, one hundred seventeen billion, one hundred five million, six hundred forty-three thousand, five hundred thirty-seven".