8001967286412 has 192 divisors, whose sum is σ = 23466348057600. Its totient is φ = 2335812111360.

The previous prime is 8001967286407. The next prime is 8001967286419. The reversal of 8001967286412 is 2146827691008.

It is a happy number.

8001967286412 is a `hidden beast` number, since 80 + 0 + 1 + 9 + 6 + 72 + 86 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8001967286419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14649513 + ... + 15185919.

It is an arithmetic number, because the mean of its divisors is an integer number (122220562800).

Almost surely, 2^{8001967286412} 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 8001967286412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733174028800).

8001967286412 is an abundant number, since it is smaller than the sum of its proper divisors (15464380771188).

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

8001967286412 is a wasteful number, since it uses less digits than its factorization.

8001967286412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536893 (or 536885 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8001967286412 in words is "eight trillion, one billion, nine hundred sixty-seven million, two hundred eighty-six thousand, four hundred twelve".