144303908958048 has 576 divisors, whose sum is σ = 456303629698560. Its totient is φ = 39111362002944.

The previous prime is 144303908958023. The next prime is 144303908958049. The reversal of 144303908958048 is 840859809303441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144303908958048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144303908958049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26629247883 + ... + 26629253301.

It is an arithmetic number, because the mean of its divisors is an integer number (792193801560).

Almost surely, 2^{144303908958048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144303908958048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228151814849280).

144303908958048 is an abundant number, since it is smaller than the sum of its proper divisors (311999720740512).

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

144303908958048 is a wasteful number, since it uses less digits than its factorization.

144303908958048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 144303908958048 in words is "one hundred forty-four trillion, three hundred three billion, nine hundred eight million, nine hundred fifty-eight thousand, forty-eight".