13518091314 has 288 divisors, whose sum is σ = 38848118400. Its totient is φ = 3314608128.

The previous prime is 13518091313. The next prime is 13518091339. The reversal of 13518091314 is 41319081531.

It is a happy number.

13518091314 is a `hidden beast` number, since 1 + 3 + 518 + 0 + 9 + 131 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13518091313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38733612 + ... + 38733960.

It is an arithmetic number, because the mean of its divisors is an integer number (134889300).

Almost surely, 2^13518091314 is an apocalyptic number.

13518091314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13518091314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424059200).

13518091314 is an abundant number, since it is smaller than the sum of its proper divisors (25330027086).

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

13518091314 is a wasteful number, since it uses less digits than its factorization.

13518091314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 13518091314 in words is "thirteen billion, five hundred eighteen million, ninety-one thousand, three hundred fourteen".