144301850600112 has 240 divisors, whose sum is σ = 412912059749280. Its totient is φ = 47029578006528.

The previous prime is 144301850600111. The next prime is 144301850600113. The reversal of 144301850600112 is 211006058103441.

144301850600112 is a `hidden beast` number, since 1 + 4 + 4 + 30 + 1 + 8 + 5 + 0 + 600 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (144301850600111) and next prime (144301850600113).

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 (144301850600111) 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, 10489333138 + ... + 10489346894.

It is an arithmetic number, because the mean of its divisors is an integer number (1720466915622).

Almost surely, 2^{144301850600112} is an apocalyptic number.

144301850600112 is a gapful number since it is divisible by the number (12) 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 144301850600112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206456029874640).

144301850600112 is an abundant number, since it is smaller than the sum of its proper divisors (268610209149168).

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

144301850600112 is a wasteful number, since it uses less digits than its factorization.

144301850600112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20420 (or 20411 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 144301850600112 in words is "one hundred forty-four trillion, three hundred one billion, eight hundred fifty million, six hundred thousand, one hundred twelve".