144113906039904 has 144 divisors (see below), whose sum is σ = 425009448641232. Its totient is φ = 48037192777728.

The previous prime is 144113906039903. The next prime is 144113906039941. The reversal of 144113906039904 is 409930609311441.

144113906039904 is a `hidden beast` number, since 1 + 441 + 139 + 0 + 60 + 3 + 9 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×144113906039904² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144113906039903) 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, 680084112 + ... + 680295984.

It is an arithmetic number, because the mean of its divisors is an integer number (2951454504453).

Almost surely, 2^{144113906039904} is an apocalyptic number.

It is an amenable number.

144113906039904 is an abundant number, since it is smaller than the sum of its proper divisors (280895542601328).

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

144113906039904 is an equidigital number, since it uses as much as digits as its factorization.

144113906039904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299371 (or 299351 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 144113906039904 in words is "one hundred forty-four trillion, one hundred thirteen billion, nine hundred six million, thirty-nine thousand, nine hundred four".