144454725184 has 189 divisors, whose sum is σ = 367117422609. Its totient is φ = 56189844480.

The previous prime is 144454725179. The next prime is 144454725197. The reversal of 144454725184 is 481527454441.

The square root of 144454725184 is 380072.

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., 4183502400 + 140271222784 = 64680^2 + 374528^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 234124044 + ... + 234124660.

Almost surely, 2^144454725184 is an apocalyptic number.

144454725184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144454725184 is the 380072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144454725184

144454725184 is an abundant number, since it is smaller than the sum of its proper divisors (222662697425).

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

144454725184 is an frugal number, since it uses more digits than its factorization.

144454725184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 637 counting only the distinct ones).

The product of its digits is 2867200, while the sum is 49.

Multiplying 144454725184 by its sum of digits (49), we get a square (7078281534016 = 2660504²).

144454725184 divided by its sum of digits (49) gives a square (2948055616 = 54296²).

The spelling of 144454725184 in words is "one hundred forty-four billion, four hundred fifty-four million, seven hundred twenty-five thousand, one hundred eighty-four".