144416288016000 has 12288 divisors, whose sum is σ = 799655141376000. Its totient is φ = 25395793920000.

The previous prime is 144416288015953. The next prime is 144416288016001. The reversal of 144416288016000 is 610882614441.

144416288016000 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 628 + 8 + 0 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144416288016001) by changing a digit.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 4658589935985 + ... + 4658589936015.

It is an arithmetic number, because the mean of its divisors is an integer number (65076102000).

Almost surely, 2^{144416288016000} is an apocalyptic number.

144416288016000 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 144416288016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399827570688000).

144416288016000 is an abundant number, since it is smaller than the sum of its proper divisors (655238853360000).

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

144416288016000 is a wasteful number, since it uses less digits than its factorization.

144416288016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 144416288016000 in words is "one hundred forty-four trillion, four hundred sixteen billion, two hundred eighty-eight million, sixteen thousand".