64144321270225 has 27 divisors (see below), whose sum is σ = 92525315105457. Its totient is φ = 43984485226080.

The previous prime is 64144321270223. The next prime is 64144321270241. The reversal of 64144321270225 is 52207212344146.

The square root of 64144321270225 is 8009015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19953097338321 + 44191223931904 = 4466889^2 + 6647648^2 .

It is not a de Polignac number, because 64144321270225 - 2¹ = 64144321270223 is a prime.

It is a super-2 number, since 2×64144321270225² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64144321270223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280201111 + ... + 280429939.

Almost surely, 2^{64144321270225} is an apocalyptic number.

64144321270225 is the 8009015-th square number.

64144321270225 is the 4004508-th centered octagonal number.

It is an amenable number.

64144321270225 is a deficient number, since it is larger than the sum of its proper divisors (28380993835232).

64144321270225 is an frugal number, since it uses more digits than its factorization.

64144321270225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457682 (or 228841 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 64144321270225 in words is "sixty-four trillion, one hundred forty-four billion, three hundred twenty-one million, two hundred seventy thousand, two hundred twenty-five".