20162844146016 has 768 divisors, whose sum is σ = 73286460979200. Its totient is φ = 5298551193600.

The previous prime is 20162844145937. The next prime is 20162844146041. The reversal of 20162844146016 is 61064144826102.

20162844146016 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 28 + 4 + 4 + 14 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1195110061 + ... + 1195126931.

It is an arithmetic number, because the mean of its divisors is an integer number (95425079400).

Almost surely, 2^{20162844146016} is an apocalyptic number.

20162844146016 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 20162844146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643230489600).

20162844146016 is an abundant number, since it is smaller than the sum of its proper divisors (53123616833184).

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

20162844146016 is a wasteful number, since it uses less digits than its factorization.

20162844146016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17486 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20162844146016 in words is "twenty trillion, one hundred sixty-two billion, eight hundred forty-four million, one hundred forty-six thousand, sixteen".