144733411344676 has 192 divisors, whose sum is σ = 328275751845888. Its totient is φ = 54184852800000.

The previous prime is 144733411344673. The next prime is 144733411344677. The reversal of 144733411344676 is 676443114337441.

It is a happy number.

144733411344676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144733411344676.

It is not an unprimeable number, because it can be changed into a prime (144733411344673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2175067966 + ... + 2175134506.

It is an arithmetic number, because the mean of its divisors is an integer number (1709769540864).

Almost surely, 2^{144733411344676} 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 144733411344676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164137875922944).

144733411344676 is an abundant number, since it is smaller than the sum of its proper divisors (183542340501212).

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

144733411344676 is a wasteful number, since it uses less digits than its factorization.

144733411344676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68202 (or 68200 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 58.

The spelling of 144733411344676 in words is "one hundred forty-four trillion, seven hundred thirty-three billion, four hundred eleven million, three hundred forty-four thousand, six hundred seventy-six".