20201016717648 has 240 divisors, whose sum is σ = 64104767796160. Its totient is φ = 5887016755200.

The previous prime is 20201016717631. The next prime is 20201016717649. The reversal of 20201016717648 is 84671761010202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201016717649) 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 47 ways as a sum of consecutive naturals, for example, 139745568 + ... + 139890048.

Almost surely, 2^{20201016717648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201016717648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32052383898080).

20201016717648 is an abundant number, since it is smaller than the sum of its proper divisors (43903751078512).

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

20201016717648 is a wasteful number, since it uses less digits than its factorization.

20201016717648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148458 (or 148449 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20201016717648 in words is "twenty trillion, two hundred one billion, sixteen million, seven hundred seventeen thousand, six hundred forty-eight".