144561667880960 has 768 divisors, whose sum is σ = 416720157235200. Its totient is φ = 47551374950400.

The previous prime is 144561667880933. The next prime is 144561667880983. The reversal of 144561667880960 is 69088766165441.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124070794 + ... + 4124105846.

It is an arithmetic number, because the mean of its divisors is an integer number (542604371400).

Almost surely, 2^{144561667880960} is an apocalyptic number.

144561667880960 is a gapful number since it is divisible by the number (10) 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 144561667880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208360078617600).

144561667880960 is an abundant number, since it is smaller than the sum of its proper divisors (272158489354240).

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

144561667880960 is a wasteful number, since it uses less digits than its factorization.

144561667880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35198 (or 35178 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 144561667880960 in words is "one hundred forty-four trillion, five hundred sixty-one billion, six hundred sixty-seven million, eight hundred eighty thousand, nine hundred sixty".