13375443271008 has 1152 divisors, whose sum is σ = 46967192616960. Its totient is φ = 3240419696640.

The previous prime is 13375443270929. The next prime is 13375443271013. The reversal of 13375443271008 is 80017234457331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15942125053 + ... + 15942125891.

It is an arithmetic number, because the mean of its divisors is an integer number (40770132480).

Almost surely, 2^{13375443271008} 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 13375443271008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23483596308480).

13375443271008 is an abundant number, since it is smaller than the sum of its proper divisors (33591749345952).

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

13375443271008 is a wasteful number, since it uses less digits than its factorization.

13375443271008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 13375443271008 in words is "thirteen trillion, three hundred seventy-five billion, four hundred forty-three million, two hundred seventy-one thousand, eight".