144004260505216 has 64 divisors (see below), whose sum is σ = 304940929771080. Its totient is φ = 67503026864128.

The previous prime is 144004260505211. The next prime is 144004260505229. The reversal of 144004260505216 is 612505062400441.

It can be written as a sum of positive squares in 4 ways, for example, as 140385530433600 + 3618730071616 = 11848440^2 + 1902296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×144004260505216² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144004260505211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128192575 + ... + 129311038.

Almost surely, 2^{144004260505216} is an apocalyptic number.

144004260505216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144004260505216 is an abundant number, since it is smaller than the sum of its proper divisors (160936669265864).

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

144004260505216 is a wasteful number, since it uses less digits than its factorization.

144004260505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257503901 (or 257503889 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 144004260505216 in words is "one hundred forty-four trillion, four billion, two hundred sixty million, five hundred five thousand, two hundred sixteen".