14628660601 has 9 divisors (see below), whose sum is σ = 14825861253. Its totient is φ = 14434053660.

The previous prime is 14628660569. The next prime is 14628660637. The reversal of 14628660601 is 10606682641.

It is a happy number.

The square root of 14628660601 is 120949.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 14628660601 - 2⁵ = 14628660569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14628660661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9554206 + ... + 9555736.

It is an arithmetic number, because the mean of its divisors is an integer number (1647317917).

Almost surely, 2^14628660601 is an apocalyptic number.

14628660601 is the 120949-th square number.

14628660601 is the 60475-th centered octagonal number.

It is an amenable number.

14628660601 is a deficient number, since it is larger than the sum of its proper divisors (197200652).

14628660601 is an frugal number, since it uses more digits than its factorization.

14628660601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 14628660601 in words is "fourteen billion, six hundred twenty-eight million, six hundred sixty thousand, six hundred one".