13839645456 has 540 divisors, whose sum is σ = 50456169036. Its totient is φ = 3509775360.

The previous prime is 13839645451. The next prime is 13839645527. The reversal of 13839645456 is 65454693831.

13839645456 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 96 + 4 + 545 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2990339856 + 10849305600 = 54684^2 + 104160^2 .

It is not an unprimeable number, because it can be changed into a prime (13839645451) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88150530 + ... + 88150686.

Almost surely, 2^13839645456 is an apocalyptic number.

13839645456 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 13839645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25228084518).

13839645456 is an abundant number, since it is smaller than the sum of its proper divisors (36616523580).

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

13839645456 is a wasteful number, since it uses less digits than its factorization.

13839645456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 213 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 13839645456 in words is "thirteen billion, eight hundred thirty-nine million, six hundred forty-five thousand, four hundred fifty-six".