361456144 has 75 divisors (see below), whose sum is σ = 825502317. Its totient is φ = 153312768.

The previous prime is 361456141. The next prime is 361456157. The reversal of 361456144 is 441654163.

The square root of 361456144 is 19012.

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

It can be written as a sum of positive squares in only one way, i.e., 162307600 + 199148544 = 12740^2 + 14112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (361456141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3726304 + ... + 3726400.

Almost surely, 2^361456144 is an apocalyptic number.

361456144 is the 19012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361456144

361456144 is an abundant number, since it is smaller than the sum of its proper divisors (464046173).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361456144 is an frugal number, since it uses more digits than its factorization.

361456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 106 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The cubic root of 361456144 is about 712.3365092821.

The spelling of 361456144 in words is "three hundred sixty-one million, four hundred fifty-six thousand, one hundred forty-four".