144032506466560 has 72 divisors (see below), whose sum is σ = 345206650302360. Its totient is φ = 57578971594752.

The previous prime is 144032506466557. The next prime is 144032506466623. The reversal of 144032506466560 is 65664605230441.

It can be written as a sum of positive squares in 4 ways, for example, as 34035369312256 + 109997137154304 = 5833984^2 + 10487952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144032506466498 and 144032506466507.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31065505 + ... + 35399584.

It is an arithmetic number, because the mean of its divisors is an integer number (4794536809755).

Almost surely, 2^{144032506466560} is an apocalyptic number.

144032506466560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144032506466560 is an abundant number, since it is smaller than the sum of its proper divisors (201174143835800).

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

144032506466560 is an equidigital number, since it uses as much as digits as its factorization.

144032506466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66466803 (or 66466789 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 52.

The spelling of 144032506466560 in words is "one hundred forty-four trillion, thirty-two billion, five hundred six million, four hundred sixty-six thousand, five hundred sixty".