144062113960800 has 864 divisors, whose sum is σ = 613433097268992. Its totient is φ = 32307174881280.

The previous prime is 144062113960771. The next prime is 144062113960801. The reversal of 144062113960800 is 8069311260441.

144062113960800 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 6 + 2 + 1 + 1 + 39 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144062113960801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71123667 + ... + 73121133.

It is an arithmetic number, because the mean of its divisors is an integer number (709992010728).

Almost surely, 2^{144062113960800} is an apocalyptic number.

144062113960800 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 144062113960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306716548634496).

144062113960800 is an abundant number, since it is smaller than the sum of its proper divisors (469370983308192).

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

144062113960800 is a wasteful number, since it uses less digits than its factorization.

144062113960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997562 (or 1997537 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 144062113960800 in words is "one hundred forty-four trillion, sixty-two billion, one hundred thirteen million, nine hundred sixty thousand, eight hundred".