144589460352 has 128 divisors (see below), whose sum is σ = 387587760000. Its totient is φ = 47756335104.

The previous prime is 144589460339. The next prime is 144589460401. The reversal of 144589460352 is 253064985441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×144589460352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144589460295 and 144589460304.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21841299 + ... + 21847917.

It is an arithmetic number, because the mean of its divisors is an integer number (3028029375).

Almost surely, 2^144589460352 is an apocalyptic number.

144589460352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144589460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193793880000).

144589460352 is an abundant number, since it is smaller than the sum of its proper divisors (242998299648).

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

144589460352 is a wasteful number, since it uses less digits than its factorization.

144589460352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 144589460352 in words is "one hundred forty-four billion, five hundred eighty-nine million, four hundred sixty thousand, three hundred fifty-two".