144506664052500 has 480 divisors, whose sum is σ = 450125733657600. Its totient is φ = 35963948160000.

The previous prime is 144506664052463. The next prime is 144506664052507. The reversal of 144506664052500 is 5250466605441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144506664052500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144506664052507) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14437667496 + ... + 14437677504.

It is an arithmetic number, because the mean of its divisors is an integer number (937761945120).

Almost surely, 2^{144506664052500} is an apocalyptic number.

144506664052500 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 144506664052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225062866828800).

144506664052500 is an abundant number, since it is smaller than the sum of its proper divisors (305619069605100).

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

144506664052500 is a wasteful number, since it uses less digits than its factorization.

144506664052500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 144506664052500 in words is "one hundred forty-four trillion, five hundred six billion, six hundred sixty-four million, fifty-two thousand, five hundred".