9786138861312 has 1296 divisors, whose sum is σ = 35167505458176. Its totient is φ = 2699926732800.

The previous prime is 9786138861269. The next prime is 9786138861361. The reversal of 9786138861312 is 2131688316879.

9786138861312 is a `hidden beast` number, since 9 + 7 + 8 + 6 + 1 + 3 + 8 + 8 + 613 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×9786138861312² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9786138861312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3966816303 + ... + 3966818769.

Almost surely, 2^{9786138861312} 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 9786138861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583752729088).

9786138861312 is an abundant number, since it is smaller than the sum of its proper divisors (25381366596864).

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

9786138861312 is a wasteful number, since it uses less digits than its factorization.

9786138861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2531 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 9786138861312 in words is "nine trillion, seven hundred eighty-six billion, one hundred thirty-eight million, eight hundred sixty-one thousand, three hundred twelve".