144372641296 has 45 divisors (see below), whose sum is σ = 302935686861. Its totient is φ = 66624407616.

The previous prime is 144372641291. The next prime is 144372641359. The reversal of 144372641296 is 692146273441.

The square root of 144372641296 is 379964.

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., 21356899600 + 123015741696 = 146140^2 + 350736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144372641291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19754475 + ... + 19761781.

Almost surely, 2^144372641296 is an apocalyptic number.

144372641296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144372641296 is the 379964-th square number.

It is an amenable number.

144372641296 is an abundant number, since it is smaller than the sum of its proper divisors (158563045565).

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

144372641296 is an frugal number, since it uses more digits than its factorization.

144372641296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 7322 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 144372641296 by its sum of digits (49), we get a square (7074259423504 = 2659748²).

The spelling of 144372641296 in words is "one hundred forty-four billion, three hundred seventy-two million, six hundred forty-one thousand, two hundred ninety-six".