144034974324864 has 768 divisors, whose sum is σ = 491595936000000. Its totient is φ = 40453677766656.

The previous prime is 144034974324793. The next prime is 144034974324869. The reversal of 144034974324864 is 468423479430441.

144034974324864 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 3 + 497 + 43 + 2 + 48 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (144034974324869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13210576437 + ... + 13210587339.

It is an arithmetic number, because the mean of its divisors is an integer number (640098875000).

Almost surely, 2^{144034974324864} is an apocalyptic number.

144034974324864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144034974324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245797968000000).

144034974324864 is an abundant number, since it is smaller than the sum of its proper divisors (347560961675136).

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

144034974324864 is a wasteful number, since it uses less digits than its factorization.

144034974324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11510 (or 11481 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 63.

The spelling of 144034974324864 in words is "one hundred forty-four trillion, thirty-four billion, nine hundred seventy-four million, three hundred twenty-four thousand, eight hundred sixty-four".