389286435712512 has 640 divisors, whose sum is σ = 1205226080593920. Its totient is φ = 110581784248320.

The previous prime is 389286435712457. The next prime is 389286435712513. The reversal of 389286435712512 is 215217534682983.

It is a happy number.

It is a super-2 number, since 2×389286435712512² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389286435712513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9272898562 + ... + 9272940542.

It is an arithmetic number, because the mean of its divisors is an integer number (1883165750928).

Almost surely, 2^{389286435712512} is an apocalyptic number.

389286435712512 is a gapful number since it is divisible by the number (32) 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 389286435712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602613040296960).

389286435712512 is an abundant number, since it is smaller than the sum of its proper divisors (815939644881408).

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

389286435712512 is a wasteful number, since it uses less digits than its factorization.

389286435712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42554 (or 42538 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 66.

The spelling of 389286435712512 in words is "three hundred eighty-nine trillion, two hundred eighty-six billion, four hundred thirty-five million, seven hundred twelve thousand, five hundred twelve".