13471138831488 has 256 divisors, whose sum is σ = 42208980508800. Its totient is φ = 3766621372416.

The previous prime is 13471138831453. The next prime is 13471138831489. The reversal of 13471138831488 is 88413883117431.

It is a happy number.

It is a super-3 number, since 3×13471138831488³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13471138831489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275806 + ... + 5197917.

Almost surely, 2^{13471138831488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13471138831488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21104490254400).

13471138831488 is an abundant number, since it is smaller than the sum of its proper divisors (28737841677312).

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

13471138831488 is a wasteful number, since it uses less digits than its factorization.

13471138831488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473799 (or 5473787 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The spelling of 13471138831488 in words is "thirteen trillion, four hundred seventy-one billion, one hundred thirty-eight million, eight hundred thirty-one thousand, four hundred eighty-eight".