112336166440740 has 576 divisors, whose sum is σ = 357342389074944. Its totient is φ = 26148576384000.

The previous prime is 112336166440717. The next prime is 112336166440741. The reversal of 112336166440740 is 47044661633211.

It is a happy number.

112336166440740 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112336166440740.

It is not an unprimeable number, because it can be changed into a prime (112336166440741) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67388221387 + ... + 67388223053.

It is an arithmetic number, because the mean of its divisors is an integer number (620386092144).

Almost surely, 2^{112336166440740} is an apocalyptic number.

112336166440740 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 112336166440740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178671194537472).

112336166440740 is an abundant number, since it is smaller than the sum of its proper divisors (245006222634204).

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

112336166440740 is a wasteful number, since it uses less digits than its factorization.

112336166440740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 112336166440740 in words is "one hundred twelve trillion, three hundred thirty-six billion, one hundred sixty-six million, four hundred forty thousand, seven hundred forty".