112134455903232 has 704 divisors, whose sum is σ = 402217114337280. Its totient is φ = 30126587904000.

The previous prime is 112134455903201. The next prime is 112134455903237. The reversal of 112134455903232 is 232309554431211.

112134455903232 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 34 + 4 + 5 + 590 + 3 + 23 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (112134455903237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3786904107 + ... + 3786933717.

It is an arithmetic number, because the mean of its divisors is an integer number (571331128320).

Almost surely, 2^{112134455903232} is an apocalyptic number.

112134455903232 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 112134455903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201108557168640).

112134455903232 is an abundant number, since it is smaller than the sum of its proper divisors (290082658434048).

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

112134455903232 is a wasteful number, since it uses less digits than its factorization.

112134455903232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30815 (or 30791 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 112134455903232 in words is "one hundred twelve trillion, one hundred thirty-four billion, four hundred fifty-five million, nine hundred three thousand, two hundred thirty-two".