389601612288 has 360 divisors, whose sum is σ = 1356460337232. Its totient is φ = 111313004544.

The previous prime is 389601612287. The next prime is 389601612331. The reversal of 389601612288 is 882216106983.

389601612288 is a `hidden beast` number, since 3 + 8 + 9 + 601 + 6 + 1 + 2 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (389601612287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6064431 + ... + 6128337.

Almost surely, 2^389601612288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389601612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678230168616).

389601612288 is an abundant number, since it is smaller than the sum of its proper divisors (966858724944).

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

389601612288 is an frugal number, since it uses more digits than its factorization.

389601612288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63954 (or 63919 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 389601612288 in words is "three hundred eighty-nine billion, six hundred one million, six hundred twelve thousand, two hundred eighty-eight".