144941622504 has 256 divisors, whose sum is σ = 429496320000. Its totient is φ = 40739086080.

The previous prime is 144941622503. The next prime is 144941622517. The reversal of 144941622504 is 405226149441.

144941622504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (144941622503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146257449 + ... + 146258439.

It is an arithmetic number, because the mean of its divisors is an integer number (1677720000).

Almost surely, 2^144941622504 is an apocalyptic number.

144941622504 is a gapful number since it is divisible by the number (14) 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 144941622504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214748160000).

144941622504 is an abundant number, since it is smaller than the sum of its proper divisors (284554697496).

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

144941622504 is a wasteful number, since it uses less digits than its factorization.

144941622504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 144941622504 in words is "one hundred forty-four billion, nine hundred forty-one million, six hundred twenty-two thousand, five hundred four".