14709961728 has 528 divisors, whose sum is σ = 55793687040. Its totient is φ = 3616358400.

The previous prime is 14709961699. The next prime is 14709961729. The reversal of 14709961728 is 82716990741.

14709961728 is a `hidden beast` number, since 1 + 470 + 99 + 61 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14709961729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13482463 + ... + 13483553.

Almost surely, 2^14709961728 is an apocalyptic number.

14709961728 is a gapful number since it is divisible by the number (18) 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 14709961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896843520).

14709961728 is an abundant number, since it is smaller than the sum of its proper divisors (41083725312).

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

14709961728 is a wasteful number, since it uses less digits than its factorization.

14709961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 14709961728 in words is "fourteen billion, seven hundred nine million, nine hundred sixty-one thousand, seven hundred twenty-eight".