144589142016 has 960 divisors, whose sum is σ = 513729216000. Its totient is φ = 40025456640.

The previous prime is 144589142003. The next prime is 144589142029. The reversal of 144589142016 is 610241985441.

144589142016 is a `hidden beast` number, since 1 + 44 + 589 + 1 + 4 + 20 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (144589142003) and next prime (144589142029).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1830242265 + ... + 1830242343.

It is an arithmetic number, because the mean of its divisors is an integer number (535134600).

Almost surely, 2^144589142016 is an apocalyptic number.

144589142016 is a gapful number since it is divisible by the number (16) 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 144589142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256864608000).

144589142016 is an abundant number, since it is smaller than the sum of its proper divisors (369140073984).

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

144589142016 is a wasteful number, since it uses less digits than its factorization.

144589142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 144589142016 in words is "one hundred forty-four billion, five hundred eighty-nine million, one hundred forty-two thousand, sixteen".