144004120640316 has 72 divisors (see below), whose sum is σ = 380765653500960. Its totient is φ = 45802097155584.

The previous prime is 144004120640311. The next prime is 144004120640329. The reversal of 144004120640316 is 613046021400441.

144004120640316 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 4 + 1 + 2 + 0 + 640 + 3 + 1 + 6 = 666.

It is a super-2 number, since 2×144004120640316² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144004120640311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212275065 + ... + 212952368.

It is an arithmetic number, because the mean of its divisors is an integer number (5288411854180).

Almost surely, 2^{144004120640316} is an apocalyptic number.

It is an amenable number.

144004120640316 is an abundant number, since it is smaller than the sum of its proper divisors (236761532860644).

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

144004120640316 is a wasteful number, since it uses less digits than its factorization.

144004120640316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425227875 (or 425227870 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 144004120640316 in words is "one hundred forty-four trillion, four billion, one hundred twenty million, six hundred forty thousand, three hundred sixteen".