20128845618336 has 192 divisors, whose sum is σ = 65037991447296. Its totient is φ = 5308189286400.

The previous prime is 20128845618319. The next prime is 20128845618341. The reversal of 20128845618336 is 63381654882102.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 94075956 + ... + 94289676.

It is an arithmetic number, because the mean of its divisors is an integer number (338739538788).

Almost surely, 2^{20128845618336} is an apocalyptic number.

20128845618336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20128845618336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32518995723648).

20128845618336 is an abundant number, since it is smaller than the sum of its proper divisors (44909145828960).

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

20128845618336 is a wasteful number, since it uses less digits than its factorization.

20128845618336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224535 (or 224527 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 20128845618336 in words is "twenty trillion, one hundred twenty-eight billion, eight hundred forty-five million, six hundred eighteen thousand, three hundred thirty-six".