14652860401 has 27 divisors (see below), whose sum is σ = 16224835851. Its totient is φ = 13230171504.

The previous prime is 14652860377. The next prime is 14652860423. The reversal of 14652860401 is 10406825641.

The square root of 14652860401 is 121049.

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

It can be written as a sum of positive squares in only one way, i.e., 2525565025 + 12127295376 = 50255^2 + 110124^2 .

It is not a de Polignac number, because 14652860401 - 2⁹ = 14652859889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14652860441) 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 26 ways as a sum of consecutive naturals, for example, 52898275 + ... + 52898551.

Almost surely, 2^14652860401 is an apocalyptic number.

14652860401 is the 121049-th square number.

14652860401 is the 60525-th centered octagonal number.

It is an amenable number.

14652860401 is a deficient number, since it is larger than the sum of its proper divisors (1571975450).

14652860401 is an frugal number, since it uses more digits than its factorization.

14652860401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 14652860401 in words is "fourteen billion, six hundred fifty-two million, eight hundred sixty thousand, four hundred one".