144572220766080 has 1280 divisors, whose sum is σ = 545356368691200. Its totient is φ = 36576715456512.

The previous prime is 144572220766079. The next prime is 144572220766133. The reversal of 144572220766080 is 80667022275441.

144572220766080 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 7 + 2 + 2 + 20 + 7 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×144572220766080² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36796185556 + ... + 36796189484.

It is an arithmetic number, because the mean of its divisors is an integer number (426059663040).

Almost surely, 2^{144572220766080} is an apocalyptic number.

144572220766080 is a gapful number since it is divisible by the number (10) 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 144572220766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272678184345600).

144572220766080 is an abundant number, since it is smaller than the sum of its proper divisors (400784147925120).

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

144572220766080 is an frugal number, since it uses more digits than its factorization.

144572220766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 144572220766080 in words is "one hundred forty-four trillion, five hundred seventy-two billion, two hundred twenty million, seven hundred sixty-six thousand, eighty".