8349995962368 has 156 divisors (see below), whose sum is σ = 24129818310988. Its totient is φ = 2782114283520.

The previous prime is 8349995962361. The next prime is 8349995962379. The reversal of 8349995962368 is 8632695999438.

8349995962368 is a `hidden beast` number, since 8 + 3 + 499 + 9 + 5 + 9 + 62 + 3 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7450017398784 + 899978563584 = 2729472^2 + 948672^2 .

It is not an unprimeable number, because it can be changed into a prime (8349995962361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86250246 + ... + 86347002.

Almost surely, 2^{8349995962368} 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 8349995962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064909155494).

8349995962368 is an abundant number, since it is smaller than the sum of its proper divisors (15779822348620).

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

8349995962368 is a wasteful number, since it uses less digits than its factorization.

8349995962368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99128 (or 99103 counting only the distinct ones).

The product of its digits is 5441955840, while the sum is 81.

The spelling of 8349995962368 in words is "eight trillion, three hundred forty-nine billion, nine hundred ninety-five million, nine hundred sixty-two thousand, three hundred sixty-eight".