144348324624 has 135 divisors (see below), whose sum is σ = 470033819463. Its totient is φ = 41233260096.

The previous prime is 144348324551. The next prime is 144348324649. The reversal of 144348324624 is 426423843441.

The square root of 144348324624 is 379932.

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

144348324624 is a `hidden beast` number, since 1 + 44 + 348 + 3 + 246 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 144348324624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31912027 + ... + 31916549.

Almost surely, 2^144348324624 is an apocalyptic number.

144348324624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144348324624 is the 379932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144348324624

144348324624 is an abundant number, since it is smaller than the sum of its proper divisors (325685494839).

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

144348324624 is an frugal number, since it uses more digits than its factorization.

144348324624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074 (or 4535 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 144348324624 in words is "one hundred forty-four billion, three hundred forty-eight million, three hundred twenty-four thousand, six hundred twenty-four".