14261693680 has 160 divisors (see below), whose sum is σ = 36622031040. Its totient is φ = 5163125760.

The previous prime is 14261693659. The next prime is 14261693687. The reversal of 14261693680 is 8639616241.

It is a self number, because there is not a number n which added to its sum of digits gives 14261693680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14261693687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9314515 + ... + 9316045.

It is an arithmetic number, because the mean of its divisors is an integer number (228887694).

Almost surely, 2^14261693680 is an apocalyptic number.

14261693680 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 14261693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311015520).

14261693680 is an abundant number, since it is smaller than the sum of its proper divisors (22360337360).

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

14261693680 is a wasteful number, since it uses less digits than its factorization.

14261693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 14261693680 in words is "fourteen billion, two hundred sixty-one million, six hundred ninety-three thousand, six hundred eighty".