10824386112 has 84 divisors (see below), whose sum is σ = 31864755676. Its totient is φ = 3510604800.

The previous prime is 10824386093. The next prime is 10824386113. The reversal of 10824386112 is 21168342801.

10824386112 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 4 + 38 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7531462656 + 3292923456 = 86784^2 + 57384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10824386113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232639 + ... + 275262.

Almost surely, 2^10824386112 is an apocalyptic number.

10824386112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10824386112 is an abundant number, since it is smaller than the sum of its proper divisors (21040369564).

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

10824386112 is a wasteful number, since it uses less digits than its factorization.

10824386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507956 (or 507943 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 1082438 and 6112, that added together give a triangular number (1088550 = T₁₄₇₅).

The spelling of 10824386112 in words is "ten billion, eight hundred twenty-four million, three hundred eighty-six thousand, one hundred twelve".