20411000314614 has 192 divisors, whose sum is σ = 54924025927680. Its totient is φ = 5334370214400.

The previous prime is 20411000314613. The next prime is 20411000314631. The reversal of 20411000314614 is 41641300011402.

20411000314614 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 10 + 0 + 0 + 31 + 4 + 614 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411000314613) 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, 101060359 + ... + 101262125.

It is an arithmetic number, because the mean of its divisors is an integer number (286062635040).

Almost surely, 2^{20411000314614} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411000314614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27462012963840).

20411000314614 is an abundant number, since it is smaller than the sum of its proper divisors (34513025613066).

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

20411000314614 is a wasteful number, since it uses less digits than its factorization.

20411000314614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202355 (or 202352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20411000314614 in words is "twenty trillion, four hundred eleven billion, three hundred fourteen thousand, six hundred fourteen".