14081679360 has 896 divisors, whose sum is σ = 61149219840. Its totient is φ = 3001024512.

The previous prime is 14081679331. The next prime is 14081679401. The reversal of 14081679360 is 6397618041.

It is a happy number.

14081679360 is a `hidden beast` number, since 140 + 81 + 6 + 79 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131604427 + ... + 131604533.

Almost surely, 2^14081679360 is an apocalyptic number.

14081679360 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 14081679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30574609920).

14081679360 is an abundant number, since it is smaller than the sum of its proper divisors (47067540480).

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

14081679360 is a wasteful number, since it uses less digits than its factorization.

14081679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14081679360 in words is "fourteen billion, eighty-one million, six hundred seventy-nine thousand, three hundred sixty".