13375414784 has 40 divisors (see below), whose sum is σ = 26773256268. Its totient is φ = 6675558400.

The previous prime is 13375414777. The next prime is 13375414807. The reversal of 13375414784 is 48741457331.

It can be written as a sum of positive squares in 2 ways, for example, as 13363360000 + 12054784 = 115600^2 + 3472^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261734 + ... + 308634.

Almost surely, 2^13375414784 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 13375414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386628134).

13375414784 is an abundant number, since it is smaller than the sum of its proper divisors (13397841484).

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

13375414784 is an frugal number, since it uses more digits than its factorization.

13375414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47476 (or 47460 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The spelling of 13375414784 in words is "thirteen billion, three hundred seventy-five million, four hundred fourteen thousand, seven hundred eighty-four".