20117023612416 has 320 divisors, whose sum is σ = 60115599498240. Its totient is φ = 6641814896640.

The previous prime is 20117023612403. The next prime is 20117023612421. The reversal of 20117023612416 is 61421632071102.

20117023612416 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 7 + 0 + 23 + 612 + 4 + 16 = 666.

It is a super-3 number, since 3×20117023612416³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922708111 + ... + 2922714993.

It is an arithmetic number, because the mean of its divisors is an integer number (187861248432).

Almost surely, 2^{20117023612416} 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 20117023612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057799749120).

20117023612416 is an abundant number, since it is smaller than the sum of its proper divisors (39998575885824).

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

20117023612416 is a wasteful number, since it uses less digits than its factorization.

20117023612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 20117023612416 its reverse (61421632071102), we get a palindrome (81538655683518).

The spelling of 20117023612416 in words is "twenty trillion, one hundred seventeen billion, twenty-three million, six hundred twelve thousand, four hundred sixteen".