112093348752 has 960 divisors, whose sum is σ = 423661455360. Its totient is φ = 27047623680.

The previous prime is 112093348751. The next prime is 112093348793. The reversal of 112093348752 is 257843390211.

It is a happy number.

112093348752 is a `hidden beast` number, since 11 + 20 + 93 + 3 + 487 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 112093348698 and 112093348707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112093348751) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1673035023 + ... + 1673035089.

It is an arithmetic number, because the mean of its divisors is an integer number (441314016).

Almost surely, 2^112093348752 is an apocalyptic number.

112093348752 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 112093348752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211830727680).

112093348752 is an abundant number, since it is smaller than the sum of its proper divisors (311568106608).

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

112093348752 is a wasteful number, since it uses less digits than its factorization.

112093348752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 1120933 and 48752, that added together give a triangular number (1169685 = T₁₅₂₉).

The spelling of 112093348752 in words is "one hundred twelve billion, ninety-three million, three hundred forty-eight thousand, seven hundred fifty-two".