144431343134441 has 64 divisors (see below), whose sum is σ = 163203074850816. Its totient is φ = 127739572107840.

The previous prime is 144431343134431. The next prime is 144431343134459.

144431343134441 is nontrivially palindromic in base 10.

144431343134441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144431343134441 - 2³⁴ = 144414163265257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144431343134392 and 144431343134401.

It is not an unprimeable number, because it can be changed into a prime (144431343134431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30171575450 + ... + 30171580236.

It is an arithmetic number, because the mean of its divisors is an integer number (2550048044544).

Almost surely, 2^{144431343134441} is an apocalyptic number.

144431343134441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144431343134441 is a deficient number, since it is larger than the sum of its proper divisors (18771731716375).

144431343134441 is a wasteful number, since it uses less digits than its factorization.

144431343134441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6843 (or 6821 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 144431343134441 in words is "one hundred forty-four trillion, four hundred thirty-one billion, three hundred forty-three million, one hundred thirty-four thousand, four hundred forty-one".