144444457872000 has 7680 divisors, whose sum is σ = 709850481500160. Its totient is φ = 28593782784000.

The previous prime is 144444457871999. The next prime is 144444457872037. The reversal of 144444457872000 is 278754444441.

144444457872000 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 44 + 578 + 7 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1137357935937 + ... + 1137357936063.

It is an arithmetic number, because the mean of its divisors is an integer number (92428448112).

Almost surely, 2^{144444457872000} is an apocalyptic number.

144444457872000 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 144444457872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354925240750080).

144444457872000 is an abundant number, since it is smaller than the sum of its proper divisors (565406023628160).

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

144444457872000 is a wasteful number, since it uses less digits than its factorization.

144444457872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 16056320, while the sum is 54.

The spelling of 144444457872000 in words is "one hundred forty-four trillion, four hundred forty-four billion, four hundred fifty-seven million, eight hundred seventy-two thousand".