112533461352 has 224 divisors, whose sum is σ = 341747217000. Its totient is φ = 34518348288.

The previous prime is 112533461213. The next prime is 112533461353. The reversal of 112533461352 is 253164335211.

112533461352 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 34 + 613 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66319640676 + 46213820676 = 257526^2 + 214974^2 .

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 (112533461353) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26457658 + ... + 26461910.

Almost surely, 2^112533461352 is an apocalyptic number.

112533461352 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 112533461352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170873608500).

112533461352 is an abundant number, since it is smaller than the sum of its proper divisors (229213755648).

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

112533461352 is a wasteful number, since it uses less digits than its factorization.

112533461352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4620 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

Adding to 112533461352 its reverse (253164335211), we get a palindrome (365697796563).

The spelling of 112533461352 in words is "one hundred twelve billion, five hundred thirty-three million, four hundred sixty-one thousand, three hundred fifty-two".