112734380828160 has 3840 divisors, whose sum is σ = 527833556490240. Its totient is φ = 22393446727680.

The previous prime is 112734380828117. The next prime is 112734380828177. The reversal of 112734380828160 is 61828083437211.

112734380828160 is a `hidden beast` number, since 1 + 1 + 2 + 73 + 438 + 0 + 8 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112734380828097 and 112734380828106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 302236945734 + ... + 302236946106.

It is an arithmetic number, because the mean of its divisors is an integer number (137456655336).

Almost surely, 2^{112734380828160} is an apocalyptic number.

112734380828160 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 112734380828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263916778245120).

112734380828160 is an abundant number, since it is smaller than the sum of its proper divisors (415099175662080).

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

112734380828160 is a wasteful number, since it uses less digits than its factorization.

112734380828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 112734380828160 in words is "one hundred twelve trillion, seven hundred thirty-four billion, three hundred eighty million, eight hundred twenty-eight thousand, one hundred sixty".