13434503254592 has 168 divisors, whose sum is σ = 31627692807480. Its totient is φ = 5643904573440.

The previous prime is 13434503254489. The next prime is 13434503254603. The reversal of 13434503254592 is 29545230543431.

13434503254592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4218324468736 + 9216178785856 = 2053856^2 + 3035816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13434503254592.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55929884 + ... + 56169572.

It is an arithmetic number, because the mean of its divisors is an integer number (188260076235).

Almost surely, 2^{13434503254592} 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 13434503254592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813846403740).

13434503254592 is an abundant number, since it is smaller than the sum of its proper divisors (18193189552888).

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

13434503254592 is a wasteful number, since it uses less digits than its factorization.

13434503254592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240069 (or 240052 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 50.

The spelling of 13434503254592 in words is "thirteen trillion, four hundred thirty-four billion, five hundred three million, two hundred fifty-four thousand, five hundred ninety-two".