13961696000 has 288 divisors, whose sum is σ = 40102887552. Its totient is φ = 4744396800.

The previous prime is 13961695933. The next prime is 13961696017. The reversal of 13961696000 is 69616931.

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 31 ways as a sum of consecutive naturals, for example, 35167802 + ... + 35168198.

Almost surely, 2^13961696000 is an apocalyptic number.

13961696000 is a gapful number since it is divisible by the number (10) 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 13961696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051443776).

13961696000 is an abundant number, since it is smaller than the sum of its proper divisors (26141191552).

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

13961696000 is an equidigital number, since it uses as much as digits as its factorization.

13961696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 41.

The spelling of 13961696000 in words is "thirteen billion, nine hundred sixty-one million, six hundred ninety-six thousand".