112321628950752 has 144 divisors (see below), whose sum is σ = 344149835309280. Its totient is φ = 34543938917376.

The previous prime is 112321628950679. The next prime is 112321628950759. The reversal of 112321628950752 is 257059826123211.

112321628950752 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 1 + 6 + 2 + 89 + 507 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112321628950752² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112321628950759) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 626274 + ... + 15001182.

It is an arithmetic number, because the mean of its divisors is an integer number (2389929411870).

Almost surely, 2^{112321628950752} is an apocalyptic number.

112321628950752 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 112321628950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172074917654640).

112321628950752 is an abundant number, since it is smaller than the sum of its proper divisors (231828206358528).

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

112321628950752 is a wasteful number, since it uses less digits than its factorization.

112321628950752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14377025 (or 14377014 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 112321628950752 in words is "one hundred twelve trillion, three hundred twenty-one billion, six hundred twenty-eight million, nine hundred fifty thousand, seven hundred fifty-two".