144300010434660 has 144 divisors (see below), whose sum is σ = 441773291559600. Its totient is φ = 38122869169152.

The previous prime is 144300010434659. The next prime is 144300010434667. The reversal of 144300010434660 is 66434010003441.

144300010434660 is a `hidden beast` number, since 1 + 4 + 4 + 300 + 0 + 1 + 0 + 4 + 346 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7750689408036 + 136549321026624 = 2784006^2 + 11685432^2 .

It is a super-2 number, since 2×144300010434660² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144300010434667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183977806 + ... + 184760474.

It is an arithmetic number, because the mean of its divisors is an integer number (3067870080275).

Almost surely, 2^{144300010434660} is an apocalyptic number.

144300010434660 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 144300010434660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220886645779800).

144300010434660 is an abundant number, since it is smaller than the sum of its proper divisors (297473281124940).

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

144300010434660 is a wasteful number, since it uses less digits than its factorization.

144300010434660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792190 (or 792185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 144300010434660 in words is "one hundred forty-four trillion, three hundred billion, ten million, four hundred thirty-four thousand, six hundred sixty".