13434252264 has 96 divisors (see below), whose sum is σ = 36771546240. Its totient is φ = 4430649600.

The previous prime is 13434252257. The next prime is 13434252301. The reversal of 13434252264 is 46225243431.

13434252264 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 425 + 226 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3459604 + ... + 3463484.

It is an arithmetic number, because the mean of its divisors is an integer number (383036940).

Almost surely, 2^13434252264 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 13434252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385773120).

13434252264 is an abundant number, since it is smaller than the sum of its proper divisors (23337293976).

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

13434252264 is a wasteful number, since it uses less digits than its factorization.

13434252264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4384 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 13434252264 its reverse (46225243431), we get a palindrome (59659495695).

The spelling of 13434252264 in words is "thirteen billion, four hundred thirty-four million, two hundred fifty-two thousand, two hundred sixty-four".