13684197024 has 288 divisors, whose sum is σ = 44337646080. Its totient is φ = 4132415232.

The previous prime is 13684197011. The next prime is 13684197061. The reversal of 13684197024 is 42079148631.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3396099 + ... + 3400125.

It is an arithmetic number, because the mean of its divisors is an integer number (153950160).

Almost surely, 2^13684197024 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 13684197024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22168823040).

13684197024 is an abundant number, since it is smaller than the sum of its proper divisors (30653449056).

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

13684197024 is a wasteful number, since it uses less digits than its factorization.

13684197024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13684197024 in words is "thirteen billion, six hundred eighty-four million, one hundred ninety-seven thousand, twenty-four".