13823115264 has 456 divisors, whose sum is σ = 48855159808. Its totient is φ = 3822059520.

The previous prime is 13823115217. The next prime is 13823115301. The reversal of 13823115264 is 46251132831.

13823115264 is a `hidden beast` number, since 1 + 3 + 82 + 311 + 5 + 264 = 666.

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

It is a congruent number.

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, 445906929 + ... + 445906959.

Almost surely, 2^13823115264 is an apocalyptic number.

13823115264 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 13823115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427579904).

13823115264 is an abundant number, since it is smaller than the sum of its proper divisors (35032044544).

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

13823115264 is an frugal number, since it uses more digits than its factorization.

13823115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 43 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 13823115264 in words is "thirteen billion, eight hundred twenty-three million, one hundred fifteen thousand, two hundred sixty-four".