144390864875625 has 45 divisors (see below), whose sum is σ = 260623929107971. Its totient is φ = 77007980616000.

The previous prime is 144390864875581. The next prime is 144390864875629. The reversal of 144390864875625 is 526578468093441.

The square root of 144390864875625 is 12016275.

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

144390864875625 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 9 + 0 + 86 + 487 + 5 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 134589256790121 + 9801608085504 = 11601261^2 + 3130752^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 144390864875625 - 2¹³ = 144390864867433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144390864875629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 901140517 + ... + 901300733.

It is a 1-persistent number, because it is pandigital, but 2⋅144390864875625 = 288781729751250 is not.

Almost surely, 2^{144390864875625} is an apocalyptic number.

144390864875625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144390864875625 is the 12016275-th square number.

144390864875625 is the 6008138-th centered octagonal number.

It is an amenable number.

144390864875625 is a deficient number, since it is larger than the sum of its proper divisors (116233064232346).

144390864875625 is an frugal number, since it uses more digits than its factorization.

144390864875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320460 (or 160225 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 144390864875625 in words is "one hundred forty-four trillion, three hundred ninety billion, eight hundred sixty-four million, eight hundred seventy-five thousand, six hundred twenty-five".