112842888508350 has 1920 divisors, whose sum is σ = 429354329564160. Its totient is φ = 21215416320000.

The previous prime is 112842888508349. The next prime is 112842888508367. The reversal of 112842888508350 is 53805888248211.

112842888508350 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 42 + 8 + 88 + 508 + 3 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 160974163000 + ... + 160974163700.

It is an arithmetic number, because the mean of its divisors is an integer number (223622046648).

Almost surely, 2^{112842888508350} is an apocalyptic number.

112842888508350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112842888508350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214677164782080).

112842888508350 is an abundant number, since it is smaller than the sum of its proper divisors (316511441055810).

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

112842888508350 is a wasteful number, since it uses less digits than its factorization.

112842888508350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 63.

The spelling of 112842888508350 in words is "one hundred twelve trillion, eight hundred forty-two billion, eight hundred eighty-eight million, five hundred eight thousand, three hundred fifty".