112633316532 has 120 divisors (see below), whose sum is σ = 326479958112. Its totient is φ = 33571713600.

The previous prime is 112633316531. The next prime is 112633316533. The reversal of 112633316532 is 235613336211.

112633316532 is a `hidden beast` number, since 1 + 1 + 2 + 633 + 3 + 16 + 5 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112633316531) and next prime (112633316533).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112633316531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41638 + ... + 476445.

Almost surely, 2^112633316532 is an apocalyptic number.

112633316532 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 112633316532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163239979056).

112633316532 is an abundant number, since it is smaller than the sum of its proper divisors (213846641580).

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

112633316532 is a wasteful number, since it uses less digits than its factorization.

112633316532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518171 (or 518160 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The spelling of 112633316532 in words is "one hundred twelve billion, six hundred thirty-three million, three hundred sixteen thousand, five hundred thirty-two".