144251898688128 has 3456 divisors, whose sum is σ = 562542732864000. Its totient is φ = 31954169364480.

The previous prime is 144251898688103. The next prime is 144251898688141. The reversal of 144251898688128 is 821886898152441.

It is a super-2 number, since 2×144251898688128² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144251898688128.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2444947435363 + ... + 2444947435421.

It is an arithmetic number, because the mean of its divisors is an integer number (162772781500).

Almost surely, 2^{144251898688128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144251898688128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281271366432000).

144251898688128 is an abundant number, since it is smaller than the sum of its proper divisors (418290834175872).

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

144251898688128 is a wasteful number, since it uses less digits than its factorization.

144251898688128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 155 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 75.

The spelling of 144251898688128 in words is "one hundred forty-four trillion, two hundred fifty-one billion, eight hundred ninety-eight million, six hundred eighty-eight thousand, one hundred twenty-eight".