13116077184 has 512 divisors, whose sum is σ = 44670320640. Its totient is φ = 3323658240.

The previous prime is 13116077179. The next prime is 13116077203. The reversal of 13116077184 is 48177061131.

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, 66578974 + ... + 66579170.

It is an arithmetic number, because the mean of its divisors is an integer number (87246720).

Almost surely, 2^13116077184 is an apocalyptic number.

13116077184 is a gapful number since it is divisible by the number (14) 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 13116077184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335160320).

13116077184 is an abundant number, since it is smaller than the sum of its proper divisors (31554243456).

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

13116077184 is a wasteful number, since it uses less digits than its factorization.

13116077184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 13116077184 in words is "thirteen billion, one hundred sixteen million, seventy-seven thousand, one hundred eighty-four".