13488177768 has 64 divisors (see below), whose sum is σ = 36373700160. Its totient is φ = 4143422976.

The previous prime is 13488177713. The next prime is 13488177817. The reversal of 13488177768 is 86777188431.

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, 157471 + ... + 227537.

It is an arithmetic number, because the mean of its divisors is an integer number (568339065).

Almost surely, 2^13488177768 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 13488177768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18186850080).

13488177768 is an abundant number, since it is smaller than the sum of its proper divisors (22885522392).

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

13488177768 is a wasteful number, since it uses less digits than its factorization.

13488177768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70706 (or 70702 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 60.

The spelling of 13488177768 in words is "thirteen billion, four hundred eighty-eight million, one hundred seventy-seven thousand, seven hundred sixty-eight".