13500414114404 has 36 divisors (see below), whose sum is σ = 27634825649340. Its totient is φ = 5753925495360.

The previous prime is 13500414114367. The next prime is 13500414114419. The reversal of 13500414114404 is 40441141400531.

13500414114404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 271699477504 + 13228714636900 = 521248^2 + 3637130^2 .

It is a super-2 number, since 2×13500414114404² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190239839 + ... + 190310790.

It is an arithmetic number, because the mean of its divisors is an integer number (767634045815).

Almost surely, 2^{13500414114404} is an apocalyptic number.

13500414114404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13500414114404 is an abundant number, since it is smaller than the sum of its proper divisors (14134411534936).

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

13500414114404 is a wasteful number, since it uses less digits than its factorization.

13500414114404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380550828 (or 380550819 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 13500414114404 its reverse (40441141400531), we get a palindrome (53941555514935).

The spelling of 13500414114404 in words is "thirteen trillion, five hundred billion, four hundred fourteen million, one hundred fourteen thousand, four hundred four".