13495917794112 has 672 divisors, whose sum is σ = 45186457272320. Its totient is φ = 3815012597760.

The previous prime is 13495917794063. The next prime is 13495917794113. The reversal of 13495917794112 is 21149771959431.

13495917794112 is a `hidden beast` number, since 1 + 3 + 49 + 5 + 9 + 177 + 9 + 411 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13495917794112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13495917794113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1647647937 + ... + 1647656127.

Almost surely, 2^{13495917794112} is an apocalyptic number.

13495917794112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13495917794112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593228636160).

13495917794112 is an abundant number, since it is smaller than the sum of its proper divisors (31690539478208).

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

13495917794112 is a wasteful number, since it uses less digits than its factorization.

13495917794112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8578 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 13495917794112 in words is "thirteen trillion, four hundred ninety-five billion, nine hundred seventeen million, seven hundred ninety-four thousand, one hundred twelve".