10338112512 has 528 divisors, whose sum is σ = 38420061120. Its totient is φ = 2721890304.

The previous prime is 10338112493. The next prime is 10338112513. The reversal of 10338112512 is 21521183301.

10338112512 is a `hidden beast` number, since 1 + 0 + 3 + 38 + 112 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10338112513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17611483 + ... + 17612069.

Almost surely, 2^10338112512 is an apocalyptic number.

10338112512 is a gapful number since it is divisible by the number (12) 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 10338112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19210030560).

10338112512 is an abundant number, since it is smaller than the sum of its proper divisors (28081948608).

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

10338112512 is a wasteful number, since it uses less digits than its factorization.

10338112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10338112512 its reverse (21521183301), we get a palindrome (31859295813).

The spelling of 10338112512 in words is "ten billion, three hundred thirty-eight million, one hundred twelve thousand, five hundred twelve".