112111593753600 has 792 divisors, whose sum is σ = 460762018177760. Its totient is φ = 25513521315840.

The previous prime is 112111593753559. The next prime is 112111593753661. The reversal of 112111593753600 is 6357395111211.

112111593753600 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 1 + 5 + 9 + 37 + 5 + 3 + 600 = 666.

112111593753600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 369179424 + ... + 369482976.

Almost surely, 2^{112111593753600} is an apocalyptic number.

112111593753600 is a gapful number since it is divisible by the number (10) 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 112111593753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230381009088880).

112111593753600 is an abundant number, since it is smaller than the sum of its proper divisors (348650424424160).

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

112111593753600 is a wasteful number, since it uses less digits than its factorization.

112111593753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303825 (or 303799 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 112111593753600 in words is "one hundred twelve trillion, one hundred eleven billion, five hundred ninety-three million, seven hundred fifty-three thousand, six hundred".