144814460396544 has 99 divisors (see below), whose sum is σ = 418151947515393. Its totient is φ = 48271101714432.

The previous prime is 144814460396537. The next prime is 144814460396563. The reversal of 144814460396544 is 445693064418441.

The square root of 144814460396544 is 12033888.

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

144814460396544 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 14 + 4 + 603 + 9 + 6 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83340831974400 + 61473628422144 = 9129120^2 + 7840512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1155190572 + ... + 1155315924.

Almost surely, 2^{144814460396544} is an apocalyptic number.

144814460396544 is the 12033888-th square number.

It is an amenable number.

144814460396544 is an abundant number, since it is smaller than the sum of its proper divisors (273337487118849).

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

144814460396544 is an frugal number, since it uses more digits than its factorization.

144814460396544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250732 (or 125358 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 144814460396544 in words is "one hundred forty-four trillion, eight hundred fourteen billion, four hundred sixty million, three hundred ninety-six thousand, five hundred forty-four".