13484392704 has 324 divisors, whose sum is σ = 41845691888. Its totient is φ = 4328432640.

The previous prime is 13484392687. The next prime is 13484392709. The reversal of 13484392704 is 40729348431.

13484392704 is a `hidden beast` number, since 1 + 348 + 4 + 39 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 13484392704.

It is not an unprimeable number, because it can be changed into a prime (13484392709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189920989 + ... + 189921059.

Almost surely, 2^13484392704 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 13484392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20922845944).

13484392704 is an abundant number, since it is smaller than the sum of its proper divisors (28361299184).

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

13484392704 is an frugal number, since it uses more digits than its factorization.

13484392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13484392704 in words is "thirteen billion, four hundred eighty-four million, three hundred ninety-two thousand, seven hundred four".