144801146880 has 720 divisors, whose sum is σ = 562551329340. Its totient is φ = 35608854528.

The previous prime is 144801146839. The next prime is 144801146881. The reversal of 144801146880 is 88641108441.

It can be written as a sum of positive squares in 6 ways, for example, as 49305314304 + 95495832576 = 222048^2 + 309024^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144801146881) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 140174844 + ... + 140175876.

Almost surely, 2^144801146880 is an apocalyptic number.

144801146880 is a gapful number since it is divisible by the number (10) 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 144801146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281275664670).

144801146880 is an abundant number, since it is smaller than the sum of its proper divisors (417750182460).

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

144801146880 is a wasteful number, since it uses less digits than its factorization.

144801146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 144801146880 in words is "one hundred forty-four billion, eight hundred one million, one hundred forty-six thousand, eight hundred eighty".