112810000384 has 81 divisors (see below), whose sum is σ = 231257143621. Its totient is φ = 55029268480.

The previous prime is 112810000361. The next prime is 112810000393. The reversal of 112810000384 is 483000018211.

The square root of 112810000384 is 335872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5435817984 + 107374182400 = 73728^2 + 327680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2751463404 + ... + 2751463444.

Almost surely, 2^112810000384 is an apocalyptic number.

112810000384 is the 335872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112810000384

112810000384 is an abundant number, since it is smaller than the sum of its proper divisors (118447143237).

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

112810000384 is an frugal number, since it uses more digits than its factorization.

112810000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 112810000384 its reverse (483000018211), we get a palindrome (595810018595).

The spelling of 112810000384 in words is "one hundred twelve billion, eight hundred ten million, three hundred eighty-four", and thus it is an aban number.