42446853765625 has 21 divisors (see below), whose sum is σ = 53058906052153. Its totient is φ = 33956831500000.

The previous prime is 42446853765619. The next prime is 42446853765671. The reversal of 42446853765625 is 52656735864424.

The square root of 42446853765625 is 6515125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 41067629010409 + 1379224755216 = 6408403^2 + 1174404^2 .

It is not a de Polignac number, because 42446853765625 - 2²³ = 42446845377017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 814364565 + ... + 814416685.

Almost surely, 2^{42446853765625} is an apocalyptic number.

42446853765625 is the 6515125-th square number.

42446853765625 is the 3257563-rd centered octagonal number.

It is an amenable number.

42446853765625 is a deficient number, since it is larger than the sum of its proper divisors (10612052286528).

42446853765625 is an frugal number, since it uses more digits than its factorization.

42446853765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104272 (or 52126 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 67.

The spelling of 42446853765625 in words is "forty-two trillion, four hundred forty-six billion, eight hundred fifty-three million, seven hundred sixty-five thousand, six hundred twenty-five".