13170846140316 has 192 divisors, whose sum is σ = 34641347328000. Its totient is φ = 4327227919872.

The previous prime is 13170846140273. The next prime is 13170846140327. The reversal of 13170846140316 is 61304164807131.

It is a happy number.

13170846140316 is a `hidden beast` number, since 1 + 3 + 17 + 0 + 8 + 4 + 614 + 0 + 3 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481030766 + ... + 1481039658.

It is an arithmetic number, because the mean of its divisors is an integer number (180423684000).

Almost surely, 2^{13170846140316} 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 13170846140316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17320673664000).

13170846140316 is an abundant number, since it is smaller than the sum of its proper divisors (21470501187684).

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

13170846140316 is a wasteful number, since it uses less digits than its factorization.

13170846140316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9745 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13170846140316 in words is "thirteen trillion, one hundred seventy billion, eight hundred forty-six million, one hundred forty thousand, three hundred sixteen".