13834131264 has 140 divisors (see below), whose sum is σ = 42792054624. Its totient is φ = 4410844416.

The previous prime is 13834131239. The next prime is 13834131271. The reversal of 13834131264 is 46213143831.

13834131264 is a `hidden beast` number, since 1 + 383 + 4 + 13 + 1 + 264 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 61219 + ... + 177245.

Almost surely, 2^13834131264 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 13834131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396027312).

13834131264 is an abundant number, since it is smaller than the sum of its proper divisors (28957923360).

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

13834131264 is a wasteful number, since it uses less digits than its factorization.

13834131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116074 (or 116055 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13834131264 in words is "thirteen billion, eight hundred thirty-four million, one hundred thirty-one thousand, two hundred sixty-four".