144880438864 has 160 divisors (see below), whose sum is σ = 349063372800. Its totient is φ = 56847951360.

The previous prime is 144880438853. The next prime is 144880438877. The reversal of 144880438864 is 468834088441.

It is a super-2 number, since 2×144880438864² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144880438799 and 144880438808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81073779 + ... + 81075565.

It is an arithmetic number, because the mean of its divisors is an integer number (2181646080).

Almost surely, 2^144880438864 is an apocalyptic number.

144880438864 is a gapful number since it is divisible by the number (14) 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 144880438864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174531686400).

144880438864 is an abundant number, since it is smaller than the sum of its proper divisors (204182933936).

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

144880438864 is a wasteful number, since it uses less digits than its factorization.

144880438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 58.

The spelling of 144880438864 in words is "one hundred forty-four billion, eight hundred eighty million, four hundred thirty-eight thousand, eight hundred sixty-four".