8443121738688 has 1680 divisors, whose sum is σ = 33905352946080. Its totient is φ = 2051980148736.

The previous prime is 8443121738629. The next prime is 8443121738713. The reversal of 8443121738688 is 8868371213448.

It is a happy number.

8443121738688 is a `hidden beast` number, since 8 + 4 + 4 + 31 + 217 + 386 + 8 + 8 = 666.

It is a super-2 number, since 2×8443121738688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2321450406 + ... + 2321454042.

It is an arithmetic number, because the mean of its divisors is an integer number (20181757706).

Almost surely, 2^{8443121738688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8443121738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952676473040).

8443121738688 is an abundant number, since it is smaller than the sum of its proper divisors (25462231207392).

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

8443121738688 is a wasteful number, since it uses less digits than its factorization.

8443121738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3718 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 8443121738688 in words is "eight trillion, four hundred forty-three billion, one hundred twenty-one million, seven hundred thirty-eight thousand, six hundred eighty-eight".