144616323554064 has 200 divisors, whose sum is σ = 422775577297920. Its totient is φ = 47720277792000.

The previous prime is 144616323553907. The next prime is 144616323554071. The reversal of 144616323554064 is 460455323616441.

144616323554064 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 1 + 6 + 3 + 2 + 35 + 540 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144616323554064.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820760727 + ... + 820936905.

Almost surely, 2^{144616323554064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144616323554064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211387788648960).

144616323554064 is an abundant number, since it is smaller than the sum of its proper divisors (278159253743856).

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

144616323554064 is a wasteful number, since it uses less digits than its factorization.

144616323554064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182571 (or 182556 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 144616323554064 in words is "one hundred forty-four trillion, six hundred sixteen billion, three hundred twenty-three million, five hundred fifty-four thousand, sixty-four".