13965405696 has 500 divisors, whose sum is σ = 47844605160. Its totient is φ = 4047943680.

The previous prime is 13965405659. The next prime is 13965405709. The reversal of 13965405696 is 69650456931.

13965405696 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 540 + 5 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 607191541 + ... + 607191563.

Almost surely, 2^13965405696 is an apocalyptic number.

13965405696 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 13965405696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23922302580).

13965405696 is an abundant number, since it is smaller than the sum of its proper divisors (33879199464).

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

13965405696 is an frugal number, since it uses more digits than its factorization.

13965405696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 13965405696 in words is "thirteen billion, nine hundred sixty-five million, four hundred five thousand, six hundred ninety-six".