13488429312 has 144 divisors (see below), whose sum is σ = 40542821760. Its totient is φ = 4422297600.

The previous prime is 13488429299. The next prime is 13488429341. The reversal of 13488429312 is 21392488431.

13488429312 is a `hidden beast` number, since 1 + 348 + 8 + 4 + 293 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405637 + ... + 437627.

Almost surely, 2^13488429312 is an apocalyptic number.

13488429312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13488429312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20271410880).

13488429312 is an abundant number, since it is smaller than the sum of its proper divisors (27054392448).

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

13488429312 is an equidigital number, since it uses as much as digits as its factorization.

13488429312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32077 (or 32057 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 13488429312 in words is "thirteen billion, four hundred eighty-eight million, four hundred twenty-nine thousand, three hundred twelve".