13661505696 has 192 divisors, whose sum is σ = 37835683200. Its totient is φ = 4311859200.

The previous prime is 13661505667. The next prime is 13661505709. The reversal of 13661505696 is 69650516631.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 20667606 + ... + 20668266.

It is an arithmetic number, because the mean of its divisors is an integer number (197060850).

Almost surely, 2^13661505696 is an apocalyptic number.

13661505696 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 13661505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917841600).

13661505696 is an abundant number, since it is smaller than the sum of its proper divisors (24174177504).

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

13661505696 is a wasteful number, since it uses less digits than its factorization.

13661505696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 13661505696 in words is "thirteen billion, six hundred sixty-one million, five hundred five thousand, six hundred ninety-six".