144880206768 has 800 divisors, whose sum is σ = 505419222528. Its totient is φ = 39564288000.

The previous prime is 144880206749. The next prime is 144880206797. The reversal of 144880206768 is 867602088441.

144880206768 is a `hidden beast` number, since 1 + 448 + 80 + 2 + 0 + 67 + 68 = 666.

144880206768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 959471493 + ... + 959471643.

Almost surely, 2^144880206768 is an apocalyptic number.

144880206768 is a gapful number since it is divisible by the number (18) 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 144880206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252709611264).

144880206768 is an abundant number, since it is smaller than the sum of its proper divisors (360539015760).

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

144880206768 is a wasteful number, since it uses less digits than its factorization.

144880206768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 144880206768 in words is "one hundred forty-four billion, eight hundred eighty million, two hundred six thousand, seven hundred sixty-eight".