8001442753152 has 256 divisors, whose sum is σ = 21931208006400. Its totient is φ = 2583609147392.

The previous prime is 8001442753141. The next prime is 8001442753153. The reversal of 8001442753152 is 2513572441008.

It is a super-2 number, since 2×8001442753152² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8001442753153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604834474 + ... + 604847702.

It is an arithmetic number, because the mean of its divisors is an integer number (85668781275).

Almost surely, 2^{8001442753152} 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 8001442753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10965604003200).

8001442753152 is an abundant number, since it is smaller than the sum of its proper divisors (13929765253248).

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

8001442753152 is a wasteful number, since it uses less digits than its factorization.

8001442753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13663 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 8001442753152 in words is "eight trillion, one billion, four hundred forty-two million, seven hundred fifty-three thousand, one hundred fifty-two".