13823139456 has 256 divisors, whose sum is σ = 47509804800. Its totient is φ = 3874590720.

The previous prime is 13823139409. The next prime is 13823139461. The reversal of 13823139456 is 65493132831.

13823139456 is a `hidden beast` number, since 138 + 2 + 31 + 39 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276786 + ... + 1287566.

It is an arithmetic number, because the mean of its divisors is an integer number (185585175).

Almost surely, 2^13823139456 is an apocalyptic number.

13823139456 is a gapful number since it is divisible by the number (16) 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 13823139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23754902400).

13823139456 is an abundant number, since it is smaller than the sum of its proper divisors (33686665344).

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

13823139456 is a wasteful number, since it uses less digits than its factorization.

13823139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10864 (or 10846 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13823139456 in words is "thirteen billion, eight hundred twenty-three million, one hundred thirty-nine thousand, four hundred fifty-six".