389705600144 has 80 divisors (see below), whose sum is σ = 914613389568. Its totient is φ = 157031510016.

The previous prime is 389705600131. The next prime is 389705600177. The reversal of 389705600144 is 441006507983.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767524 + ... + 1975740.

Almost surely, 2^389705600144 is an apocalyptic number.

389705600144 is a gapful number since it is divisible by the number (34) 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 389705600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457306694784).

389705600144 is an abundant number, since it is smaller than the sum of its proper divisors (524907789424).

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

389705600144 is a wasteful number, since it uses less digits than its factorization.

389705600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209232 (or 209226 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 389705600144 in words is "three hundred eighty-nine billion, seven hundred five million, six hundred thousand, one hundred forty-four".