14361460736 has 256 divisors, whose sum is σ = 36238233600. Its totient is φ = 5549064192.

The previous prime is 14361460727. The next prime is 14361460739. The reversal of 14361460736 is 63706416341.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 14361460693 and 14361460702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14361460739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113082305 + ... + 113082431.

It is an arithmetic number, because the mean of its divisors is an integer number (141555600).

Almost surely, 2^14361460736 is an apocalyptic number.

14361460736 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 14361460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119116800).

14361460736 is an abundant number, since it is smaller than the sum of its proper divisors (21876772864).

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

14361460736 is an equidigital number, since it uses as much as digits as its factorization.

14361460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 14361460736 in words is "fourteen billion, three hundred sixty-one million, four hundred sixty thousand, seven hundred thirty-six".