20117105576646 has 128 divisors (see below), whose sum is σ = 45766820413440. Its totient is φ = 5848671312000.

The previous prime is 20117105576569. The next prime is 20117105576647. The reversal of 20117105576646 is 64667550171102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117105576647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48282591 + ... + 48697461.

It is an arithmetic number, because the mean of its divisors is an integer number (357553284480).

Almost surely, 2^{20117105576646} is an apocalyptic number.

20117105576646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20117105576646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22883410206720).

20117105576646 is an abundant number, since it is smaller than the sum of its proper divisors (25649714836794).

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

20117105576646 is a wasteful number, since it uses less digits than its factorization.

20117105576646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415242.

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 20117105576646 in words is "twenty trillion, one hundred seventeen billion, one hundred five million, five hundred seventy-six thousand, six hundred forty-six".