144705673494144 has 1280 divisors, whose sum is σ = 539052114585600. Its totient is φ = 37578170695680.

The previous prime is 144705673494131. The next prime is 144705673494169. The reversal of 144705673494144 is 441494376507441.

144705673494144 is a `hidden beast` number, since 1 + 4 + 4 + 70 + 5 + 6 + 73 + 494 + 1 + 4 + 4 = 666.

144705673494144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19468000252 + ... + 19468007684.

It is an arithmetic number, because the mean of its divisors is an integer number (421134464520).

Almost surely, 2^{144705673494144} is an apocalyptic number.

144705673494144 is a gapful number since it is divisible by the number (14) 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 144705673494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269526057292800).

144705673494144 is an abundant number, since it is smaller than the sum of its proper divisors (394346441091456).

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

144705673494144 is a wasteful number, since it uses less digits than its factorization.

144705673494144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 144705673494144 in words is "one hundred forty-four trillion, seven hundred five billion, six hundred seventy-three million, four hundred ninety-four thousand, one hundred forty-four".