144971211363264 has 672 divisors, whose sum is σ = 490510130423040. Its totient is φ = 40358062080000.

The previous prime is 144971211363257. The next prime is 144971211363361. The reversal of 144971211363264 is 462363112179441.

It is a happy number.

144971211363264 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 7 + 1 + 2 + 11 + 363 + 264 = 666.

144971211363264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144971211363264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41079967452 + ... + 41079970980.

It is an arithmetic number, because the mean of its divisors is an integer number (729925789320).

Almost surely, 2^{144971211363264} 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 144971211363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245255065211520).

144971211363264 is an abundant number, since it is smaller than the sum of its proper divisors (345538919059776).

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

144971211363264 is a wasteful number, since it uses less digits than its factorization.

144971211363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5796 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 144971211363264 in words is "one hundred forty-four trillion, nine hundred seventy-one billion, two hundred eleven million, three hundred sixty-three thousand, two hundred sixty-four".