14437530105625 has 135 divisors (see below), whose sum is σ = 20386297900353. Its totient is φ = 10213526400000.

The previous prime is 14437530105613. The next prime is 14437530105683. The reversal of 14437530105625 is 52650103573441.

The square root of 14437530105625 is 3799675.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3120603509529 + 11316926596096 = 1766523^2 + 3364064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-14437530105625 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 42841335457 + ... + 42841335793.

Almost surely, 2^{14437530105625} is an apocalyptic number.

14437530105625 is the 3799675-th square number.

14437530105625 is the 1899838-th centered octagonal number.

It is an amenable number.

14437530105625 is a deficient number, since it is larger than the sum of its proper divisors (5948767794728).

14437530105625 is an frugal number, since it uses more digits than its factorization.

14437530105625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

It can be divided in two parts, 144375 and 30105625, that added together give a square (30250000 = 5500²).

The spelling of 14437530105625 in words is "fourteen trillion, four hundred thirty-seven billion, five hundred thirty million, one hundred five thousand, six hundred twenty-five".