14648079852961 has 9 divisors (see below), whose sum is σ = 14670760903281. Its totient is φ = 14625433831284.

The previous prime is 14648079852953. The next prime is 14648079853013. The reversal of 14648079852961 is 16925897084641.

The square root of 14648079852961 is 3827281.

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

It is not a de Polignac number, because 14648079852961 - 2³ = 14648079852953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14648079852941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2828358070 + ... + 2828363248.

It is an arithmetic number, because the mean of its divisors is an integer number (1630084544809).

Almost surely, 2^{14648079852961} is an apocalyptic number.

14648079852961 is the 3827281-st square number.

14648079852961 is the 1913641-st centered octagonal number.

It is an amenable number.

14648079852961 is a deficient number, since it is larger than the sum of its proper divisors (22681050320).

14648079852961 is an frugal number, since it uses more digits than its factorization.

14648079852961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 14648079852961 in words is "fourteen trillion, six hundred forty-eight billion, seventy-nine million, eight hundred fifty-two thousand, nine hundred sixty-one".