144674716368 has 320 divisors, whose sum is σ = 471969792000. Its totient is φ = 37945474560.

The previous prime is 144674716271. The next prime is 144674716369. The reversal of 144674716368 is 863617476441.

It is a happy number.

144674716368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144674716368² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144674716369) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40878343 + ... + 40881881.

It is an arithmetic number, because the mean of its divisors is an integer number (1474905600).

Almost surely, 2^144674716368 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 144674716368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235984896000).

144674716368 is an abundant number, since it is smaller than the sum of its proper divisors (327295075632).

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

144674716368 is a wasteful number, since it uses less digits than its factorization.

144674716368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3755 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 144674716368 in words is "one hundred forty-four billion, six hundred seventy-four million, seven hundred sixteen thousand, three hundred sixty-eight".