144647105625 has 135 divisors (see below), whose sum is σ = 287601381067. Its totient is φ = 69979800000.

The previous prime is 144647105587. The next prime is 144647105653. The reversal of 144647105625 is 526501746441.

The square root of 144647105625 is 380325.

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

144647105625 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 7 + 10 + 5 + 625 = 666.

144647105625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 130502285001 + 14144820624 = 361251^2 + 118932^2 .

It is not a de Polignac number, because 144647105625 - 2¹⁷ = 144646974553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 313767895 + ... + 313768355.

Almost surely, 2^144647105625 is an apocalyptic number.

144647105625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144647105625 is the 380325-th square number.

144647105625 is the 190163-rd centered octagonal number.

It is an amenable number.

144647105625 is a deficient number, since it is larger than the sum of its proper divisors (142954275442).

144647105625 is an frugal number, since it uses more digits than its factorization.

With its predecessor (144647105624) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (970).

144647105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 144647105625 in words is "one hundred forty-four billion, six hundred forty-seven million, one hundred five thousand, six hundred twenty-five".