13518474117120 has 816 divisors, whose sum is σ = 55914511115520. Its totient is φ = 3089837850624.

The previous prime is 13518474117089. The next prime is 13518474117121. The reversal of 13518474117120 is 2171147481531.

13518474117120 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 8 + 474 + 1 + 171 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13518474117121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433505049 + ... + 433536231.

Almost surely, 2^{13518474117120} is an apocalyptic number.

13518474117120 is a gapful number since it is divisible by the number (10) 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 13518474117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27957255557760).

13518474117120 is an abundant number, since it is smaller than the sum of its proper divisors (42396036998400).

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

13518474117120 is an frugal number, since it uses more digits than its factorization.

13518474117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31243 (or 31200 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 13518474117120 in words is "thirteen trillion, five hundred eighteen billion, four hundred seventy-four million, one hundred seventeen thousand, one hundred twenty".