13484845804716 has 288 divisors, whose sum is σ = 43714837420800. Its totient is φ = 3573458622720.

The previous prime is 13484845804649. The next prime is 13484845804789. The reversal of 13484845804716 is 61740854848431.

13484845804716 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 4 + 8 + 4 + 580 + 47 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87870 + ... + 5193978.

Almost surely, 2^{13484845804716} 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 13484845804716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21857418710400).

13484845804716 is an abundant number, since it is smaller than the sum of its proper divisors (30229991616084).

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

13484845804716 is a wasteful number, since it uses less digits than its factorization.

13484845804716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106171 (or 5106157 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 13484845804716 in words is "thirteen trillion, four hundred eighty-four billion, eight hundred forty-five million, eight hundred four thousand, seven hundred sixteen".