144342301011000 has 128 divisors (see below), whose sum is σ = 450462812716800. Its totient is φ = 38481465436800.

The previous prime is 144342301010959. The next prime is 144342301011023. The reversal of 144342301011000 is 110103243441.

144342301011000 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 2×144342301011000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5636691 + ... + 17901309.

It is an arithmetic number, because the mean of its divisors is an integer number (3519240724350).

Almost surely, 2^{144342301011000} is an apocalyptic number.

144342301011000 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 144342301011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225231406358400).

144342301011000 is an abundant number, since it is smaller than the sum of its proper divisors (306120511705800).

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

144342301011000 is a wasteful number, since it uses less digits than its factorization.

144342301011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268566 (or 12268552 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144342301011000 its reverse (110103243441), we get a palindrome (144452404254441).

The spelling of 144342301011000 in words is "one hundred forty-four trillion, three hundred forty-two billion, three hundred one million, eleven thousand".