144627283944000 has 6272 divisors, whose sum is σ = 669093361896960. Its totient is φ = 30474952704000.

The previous prime is 144627283943993. The next prime is 144627283944001. The reversal of 144627283944000 is 449382726441.

144627283944000 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 2 + 72 + 83 + 94 + 400 + 0 = 666.

It is a super-2 number, since 2×144627283944000² (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 not an unprimeable number, because it can be changed into a prime (144627283944001) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1326855815946 + ... + 1326855816054.

Almost surely, 2^{144627283944000} is an apocalyptic number.

144627283944000 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 144627283944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334546680948480).

144627283944000 is an abundant number, since it is smaller than the sum of its proper divisors (524466077952960).

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

144627283944000 is a wasteful number, since it uses less digits than its factorization.

144627283944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 144627283944000 in words is "one hundred forty-four trillion, six hundred twenty-seven billion, two hundred eighty-three million, nine hundred forty-four thousand".