112611284352 has 192 divisors, whose sum is σ = 372394582560. Its totient is φ = 31996477440.

The previous prime is 112611284347. The next prime is 112611284353. The reversal of 112611284352 is 253482116211.

112611284352 is a `hidden beast` number, since 1 + 1 + 2 + 611 + 2 + 8 + 4 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (112611284353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1421008 + ... + 1498160.

Almost surely, 2^112611284352 is an apocalyptic number.

112611284352 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 112611284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186197291280).

112611284352 is an abundant number, since it is smaller than the sum of its proper divisors (259783298208).

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

112611284352 is a wasteful number, since it uses less digits than its factorization.

112611284352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77361 (or 77346 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 112611284352 in words is "one hundred twelve billion, six hundred eleven million, two hundred eighty-four thousand, three hundred fifty-two".