13488038832 has 40 divisors (see below), whose sum is σ = 34848483840. Its totient is φ = 4495447360.

The previous prime is 13488038827. The next prime is 13488038843. The reversal of 13488038832 is 23883088431.

13488038832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567769 + ... + 591047.

It is an arithmetic number, because the mean of its divisors is an integer number (871212096).

Almost surely, 2^13488038832 is an apocalyptic number.

13488038832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13488038832 is an abundant number, since it is smaller than the sum of its proper divisors (21360445008).

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

13488038832 is a wasteful number, since it uses less digits than its factorization.

13488038832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35361 (or 35355 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 13488038832 in words is "thirteen billion, four hundred eighty-eight million, thirty-eight thousand, eight hundred thirty-two".