13488246684 has 336 divisors, whose sum is σ = 41249295360. Its totient is φ = 3816616320.

The previous prime is 13488246683. The next prime is 13488246757. The reversal of 13488246684 is 48664288431.

It is a happy number.

13488246684 is a `hidden beast` number, since 1 + 3 + 488 + 24 + 66 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13488246684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13488246683) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34673962 + ... + 34674350.

It is an arithmetic number, because the mean of its divisors is an integer number (122765760).

Almost surely, 2^13488246684 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 13488246684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20624647680).

13488246684 is an abundant number, since it is smaller than the sum of its proper divisors (27761048676).

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

13488246684 is a wasteful number, since it uses less digits than its factorization.

13488246684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 13488246684 in words is "thirteen billion, four hundred eighty-eight million, two hundred forty-six thousand, six hundred eighty-four".