144001046105334 has 192 divisors, whose sum is σ = 376278616995840. Its totient is φ = 39260987842560.

The previous prime is 144001046105321. The next prime is 144001046105339. The reversal of 144001046105334 is 433501640100441.

144001046105334 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 1 + 0 + 4 + 610 + 5 + 3 + 34 = 666.

144001046105334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144001046105339) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130830307 + ... + 131926385.

It is an arithmetic number, because the mean of its divisors is an integer number (1959784463520).

Almost surely, 2^{144001046105334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144001046105334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188139308497920).

144001046105334 is an abundant number, since it is smaller than the sum of its proper divisors (232277570890506).

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

144001046105334 is a wasteful number, since it uses less digits than its factorization.

144001046105334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097835 (or 1097832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 144001046105334 its reverse (433501640100441), we get a palindrome (577502686205775).

The spelling of 144001046105334 in words is "one hundred forty-four trillion, one billion, forty-six million, one hundred five thousand, three hundred thirty-four".