144275118624 has 1344 divisors, whose sum is σ = 570703392000. Its totient is φ = 35554111488.

The previous prime is 144275118613. The next prime is 144275118641. The reversal of 144275118624 is 426811572441.

144275118624 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 7 + 5 + 1 + 18 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144275118624.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1976371452 + ... + 1976371524.

It is an arithmetic number, because the mean of its divisors is an integer number (424630500).

Almost surely, 2^144275118624 is an apocalyptic number.

144275118624 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 144275118624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285351696000).

144275118624 is an abundant number, since it is smaller than the sum of its proper divisors (426428273376).

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

144275118624 is an equidigital number, since it uses as much as digits as its factorization.

144275118624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 117 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 144275118624 in words is "one hundred forty-four billion, two hundred seventy-five million, one hundred eighteen thousand, six hundred twenty-four".