13935968256 has 288 divisors, whose sum is σ = 43687703808. Its totient is φ = 3869245440.

The previous prime is 13935968239. The next prime is 13935968269. The reversal of 13935968256 is 65286953931.

It is a super-2 number, since 2×13935968256² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13935968196 and 13935968205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167903191 + ... + 167903273.

It is an arithmetic number, because the mean of its divisors is an integer number (151693416).

Almost surely, 2^13935968256 is an apocalyptic number.

13935968256 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 13935968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843851904).

13935968256 is an abundant number, since it is smaller than the sum of its proper divisors (29751735552).

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

13935968256 is an frugal number, since it uses more digits than its factorization.

13935968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 156 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 57.

The spelling of 13935968256 in words is "thirteen billion, nine hundred thirty-five million, nine hundred sixty-eight thousand, two hundred fifty-six".