14315825760 has 192 divisors, whose sum is σ = 46214400960. Its totient is φ = 3723632640.

The previous prime is 14315825753. The next prime is 14315825791. The reversal of 14315825760 is 6752851341.

It is a happy number.

It is a congruent number.

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, 4603086 + ... + 4606194.

It is an arithmetic number, because the mean of its divisors is an integer number (240700005).

Almost surely, 2^14315825760 is an apocalyptic number.

14315825760 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 14315825760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23107200480).

14315825760 is an abundant number, since it is smaller than the sum of its proper divisors (31898575200).

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

14315825760 is a wasteful number, since it uses less digits than its factorization.

14315825760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 14315825760 in words is "fourteen billion, three hundred fifteen million, eight hundred twenty-five thousand, seven hundred sixty".