13438012032 has 96 divisors (see below), whose sum is σ = 40944002580. Its totient is φ = 4215840768.

The previous prime is 13438012013. The next prime is 13438012033. The reversal of 13438012032 is 23021083431.

13438012032 is a `hidden beast` number, since 134 + 380 + 120 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13320853056 + 117158976 = 115416^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13438011987 and 13438012005.

It is not an unprimeable number, because it can be changed into a prime (13438012033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323503 + ... + 362670.

Almost surely, 2^13438012032 is an apocalyptic number.

13438012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13438012032 is an abundant number, since it is smaller than the sum of its proper divisors (27505990548).

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

13438012032 is a wasteful number, since it uses less digits than its factorization.

13438012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686210 (or 686195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13438012032 its reverse (23021083431), we get a palindrome (36459095463).

The spelling of 13438012032 in words is "thirteen billion, four hundred thirty-eight million, twelve thousand, thirty-two".