144243341600 has 144 divisors (see below), whose sum is σ = 358753600800. Its totient is φ = 56616314880.

The previous prime is 144243341569. The next prime is 144243341609. The reversal of 144243341600 is 6143342441.

It is a super-2 number, since 2×144243341600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144243341609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29214332 + ... + 29219268.

It is an arithmetic number, because the mean of its divisors is an integer number (2491344450).

Almost surely, 2^144243341600 is an apocalyptic number.

144243341600 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 144243341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179376800400).

144243341600 is an abundant number, since it is smaller than the sum of its proper divisors (214510259200).

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

144243341600 is a wasteful number, since it uses less digits than its factorization.

144243341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5635 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 144243341600 in words is "one hundred forty-four billion, two hundred forty-three million, three hundred forty-one thousand, six hundred".