8144696862720 has 2016 divisors, whose sum is σ = 32916937697280. Its totient is φ = 1931334451200.

The previous prime is 8144696862661. The next prime is 8144696862733. The reversal of 8144696862720 is 272686964418.

8144696862720 is a `hidden beast` number, since 8 + 1 + 446 + 9 + 68 + 62 + 72 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 64131471297 + ... + 64131471423.

It is an arithmetic number, because the mean of its divisors is an integer number (16327846080).

Almost surely, 2^{8144696862720} is an apocalyptic number.

8144696862720 is a gapful number since it is divisible by the number (80) 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 8144696862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458468848640).

8144696862720 is an abundant number, since it is smaller than the sum of its proper divisors (24772240834560).

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

8144696862720 is a wasteful number, since it uses less digits than its factorization.

8144696862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8144696862720 in words is "eight trillion, one hundred forty-four billion, six hundred ninety-six million, eight hundred sixty-two thousand, seven hundred twenty".