389900102010112 has 72 divisors (see below), whose sum is σ = 793019131972704. Its totient is φ = 191257878349824.

The previous prime is 389900102010109. The next prime is 389900102010119. The reversal of 389900102010112 is 211010201009983.

It is a super-3 number, since 3×389900102010112³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389900102010119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187329583 + ... + 189399505.

It is an arithmetic number, because the mean of its divisors is an integer number (11014154610732).

Almost surely, 2^{389900102010112} is an apocalyptic number.

389900102010112 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 389900102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396509565986352).

389900102010112 is an abundant number, since it is smaller than the sum of its proper divisors (403119029962592).

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

389900102010112 is a wasteful number, since it uses less digits than its factorization.

389900102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083875 (or 2083861 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The spelling of 389900102010112 in words is "three hundred eighty-nine trillion, nine hundred billion, one hundred two million, ten thousand, one hundred twelve".