144226445000 has 160 divisors (see below), whose sum is σ = 384674114880. Its totient is φ = 50165280000.

The previous prime is 144226444979. The next prime is 144226445021. The reversal of 144226445000 is 544622441.

It is an interprime number because it is at equal distance from previous prime (144226444979) and next prime (144226445021).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1207994 + ... + 1322006.

It is an arithmetic number, because the mean of its divisors is an integer number (2404213218).

Almost surely, 2^144226445000 is an apocalyptic number.

144226445000 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 144226445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192337057440).

144226445000 is an abundant number, since it is smaller than the sum of its proper divisors (240447669880).

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

144226445000 is a wasteful number, since it uses less digits than its factorization.

144226445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114073 (or 114054 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 144226445000 in words is "one hundred forty-four billion, two hundred twenty-six million, four hundred forty-five thousand".