13416738188328 has 48 divisors (see below), whose sum is σ = 36337309550100. Its totient is φ = 4472207873280.

The previous prime is 13416738188323. The next prime is 13416738188339. The reversal of 13416738188328 is 82388183761431.

It is a happy number.

13416738188328 is a `hidden beast` number, since 1 + 3 + 41 + 67 + 38 + 188 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9126694765764 + 4290043422564 = 3021042^2 + 2071242^2 .

It is a super-2 number, since 2×13416738188328² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13416738188323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8432838 + ... + 9896778.

Almost surely, 2^{13416738188328} is an apocalyptic number.

13416738188328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13416738188328 is an abundant number, since it is smaller than the sum of its proper divisors (22920571361772).

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

13416738188328 is a wasteful number, since it uses less digits than its factorization.

13416738188328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591242 (or 1591235 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 13416738188328 in words is "thirteen trillion, four hundred sixteen billion, seven hundred thirty-eight million, one hundred eighty-eight thousand, three hundred twenty-eight".