13484434824 has 320 divisors, whose sum is σ = 45933148800. Its totient is φ = 3610054656.

The previous prime is 13484434823. The next prime is 13484434883. The reversal of 13484434824 is 42843448431.

13484434824 is a `hidden beast` number, since 134 + 8 + 4 + 434 + 82 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13484434824.

It is not an unprimeable number, because it can be changed into a prime (13484434823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8359042 + ... + 8360654.

It is an arithmetic number, because the mean of its divisors is an integer number (143541090).

Almost surely, 2^13484434824 is an apocalyptic number.

13484434824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13484434824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966574400).

13484434824 is an abundant number, since it is smaller than the sum of its proper divisors (32448713976).

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

13484434824 is a wasteful number, since it uses less digits than its factorization.

13484434824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1741 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The spelling of 13484434824 in words is "thirteen billion, four hundred eighty-four million, four hundred thirty-four thousand, eight hundred twenty-four".