144450205352250 has 256 divisors, whose sum is σ = 415930513489920. Its totient is φ = 32707404979200.

The previous prime is 144450205352239. The next prime is 144450205352339. The reversal of 144450205352250 is 52253502054441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439223874 + ... + 439552626.

It is an arithmetic number, because the mean of its divisors is an integer number (1624728568320).

Almost surely, 2^{144450205352250} is an apocalyptic number.

144450205352250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144450205352250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207965256744960).

144450205352250 is an abundant number, since it is smaller than the sum of its proper divisors (271480308137670).

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

144450205352250 is a wasteful number, since it uses less digits than its factorization.

144450205352250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329566 (or 329556 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 144450205352250 in words is "one hundred forty-four trillion, four hundred fifty billion, two hundred five million, three hundred fifty-two thousand, two hundred fifty".