13956835776 has 224 divisors, whose sum is σ = 42159936000. Its totient is φ = 4039372800.

The previous prime is 13956835709. The next prime is 13956835787. The reversal of 13956835776 is 67753865931.

It is a congruent number.

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, 7160050 + ... + 7161998.

It is an arithmetic number, because the mean of its divisors is an integer number (188214000).

Almost surely, 2^13956835776 is an apocalyptic number.

13956835776 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 13956835776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21079968000).

13956835776 is an abundant number, since it is smaller than the sum of its proper divisors (28203100224).

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

13956835776 is a wasteful number, since it uses less digits than its factorization.

13956835776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2137 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 60.

The spelling of 13956835776 in words is "thirteen billion, nine hundred fifty-six million, eight hundred thirty-five thousand, seven hundred seventy-six".