14706505728 has 144 divisors (see below), whose sum is σ = 42991308360. Its totient is φ = 4842602496.

The previous prime is 14706505703. The next prime is 14706505757. The reversal of 14706505728 is 82750560741.

14706505728 is a `hidden beast` number, since 1 + 4 + 70 + 6 + 5 + 0 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525050 + ... + 1534662.

Almost surely, 2^14706505728 is an apocalyptic number.

14706505728 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 14706505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495654180).

14706505728 is an abundant number, since it is smaller than the sum of its proper divisors (28284802632).

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

14706505728 is an equidigital number, since it uses as much as digits as its factorization.

14706505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9701 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 14706505728 in words is "fourteen billion, seven hundred six million, five hundred five thousand, seven hundred twenty-eight".