13119168192 has 224 divisors, whose sum is σ = 40550860224. Its totient is φ = 3706060800.

The previous prime is 13119168187. The next prime is 13119168221. The reversal of 13119168192 is 29186191131.

It is a happy number.

It is a super-2 number, since 2×13119168192² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735942 + ... + 1743482.

It is an arithmetic number, because the mean of its divisors is an integer number (181030626).

Almost surely, 2^13119168192 is an apocalyptic number.

13119168192 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 13119168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275430112).

13119168192 is an abundant number, since it is smaller than the sum of its proper divisors (27431692032).

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

13119168192 is a wasteful number, since it uses less digits than its factorization.

13119168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7627 (or 7617 counting only the distinct ones).

The product of its digits is 23328, while the sum is 42.

The spelling of 13119168192 in words is "thirteen billion, one hundred nineteen million, one hundred sixty-eight thousand, one hundred ninety-two".