20146840141824 has 644 divisors, whose sum is σ = 66014981647200. Its totient is φ = 6094910914560.

The previous prime is 20146840141817. The next prime is 20146840141853. The reversal of 20146840141824 is 42814104864102.

It is a happy number.

20146840141824 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 68 + 401 + 4 + 182 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20146840141824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33634123477 + ... + 33634124075.

Almost surely, 2^{20146840141824} is an apocalyptic number.

20146840141824 is a gapful number since it is divisible by the number (24) 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 20146840141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33007490823600).

20146840141824 is an abundant number, since it is smaller than the sum of its proper divisors (45868141505376).

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

20146840141824 is an frugal number, since it uses more digits than its factorization.

20146840141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 20146840141824 in words is "twenty trillion, one hundred forty-six billion, eight hundred forty million, one hundred forty-one thousand, eight hundred twenty-four".