144001414081 has 24 divisors (see below), whose sum is σ = 175520594304. Its totient is φ = 117573160320.

The previous prime is 144001414069. The next prime is 144001414097. The reversal of 144001414081 is 180414100441.

It is not a de Polignac number, because 144001414081 - 2⁵ = 144001414049 is a prime.

It is a super-4 number, since 4×144001414081⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144001418081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6516 + ... + 536698.

It is an arithmetic number, because the mean of its divisors is an integer number (7313358096).

Almost surely, 2^144001414081 is an apocalyptic number.

It is an amenable number.

144001414081 is a deficient number, since it is larger than the sum of its proper divisors (31519180223).

144001414081 is a wasteful number, since it uses less digits than its factorization.

144001414081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530461 (or 530454 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 144001414081 in words is "one hundred forty-four billion, one million, four hundred fourteen thousand, eighty-one".