144880021827072 has 960 divisors, whose sum is σ = 526600016870400. Its totient is φ = 39214387408896.

The previous prime is 144880021827049. The next prime is 144880021827109. The reversal of 144880021827072 is 270728120088441.

144880021827072 is a `hidden beast` number, since 1 + 4 + 488 + 0 + 0 + 21 + 8 + 2 + 70 + 72 = 666.

It is a super-2 number, since 2×144880021827072² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4646106393 + ... + 4646137575.

It is an arithmetic number, because the mean of its divisors is an integer number (548541684240).

Almost surely, 2^{144880021827072} is an apocalyptic number.

144880021827072 is a gapful number since it is divisible by the number (12) 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 144880021827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263300008435200).

144880021827072 is an abundant number, since it is smaller than the sum of its proper divisors (381719995043328).

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

144880021827072 is an frugal number, since it uses more digits than its factorization.

144880021827072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31281 (or 31214 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 144880021827072 in words is "one hundred forty-four trillion, eight hundred eighty billion, twenty-one million, eight hundred twenty-seven thousand, seventy-two".