144012893017824 has 96 divisors (see below), whose sum is σ = 420052181179680. Its totient is φ = 48002631782400.

The previous prime is 144012893017817. The next prime is 144012893017831. The reversal of 144012893017824 is 428710398210441.

It is a happy number.

144012893017824 is a `hidden beast` number, since 1 + 440 + 1 + 2 + 8 + 9 + 3 + 0 + 178 + 24 = 666.

144012893017824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144012893017817) and next prime (144012893017831).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22144614 + ... + 27899994.

It is an arithmetic number, because the mean of its divisors is an integer number (4375543553955).

Almost surely, 2^{144012893017824} is an apocalyptic number.

It is an amenable number.

144012893017824 is an abundant number, since it is smaller than the sum of its proper divisors (276039288161856).

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

144012893017824 is a wasteful number, since it uses less digits than its factorization.

144012893017824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784361 (or 5784347 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 144012893017824 in words is "one hundred forty-four trillion, twelve billion, eight hundred ninety-three million, seventeen thousand, eight hundred twenty-four".