144289393250704 has 45 divisors (see below), whose sum is σ = 302720884406019. Its totient is φ = 66594816288000.

The previous prime is 144289393250693. The next prime is 144289393250801. The reversal of 144289393250704 is 407052393982441.

The square root of 144289393250704 is 12012052.

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 112804366483600 + 31485026767104 = 10620940^2 + 5611152^2 .

It is a Duffinian number.

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, 624511204 + ... + 624742204.

Almost surely, 2^{144289393250704} is an apocalyptic number.

144289393250704 is the 12012052-nd square number.

It is an amenable number.

144289393250704 is an abundant number, since it is smaller than the sum of its proper divisors (158431491155315).

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

144289393250704 is an frugal number, since it uses more digits than its factorization.

144289393250704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462036 (or 231016 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 144289393250704 in words is "one hundred forty-four trillion, two hundred eighty-nine billion, three hundred ninety-three million, two hundred fifty thousand, seven hundred four".