112272669498528 has 1728 divisors, whose sum is σ = 440959684838400. Its totient is φ = 27239609180160.

The previous prime is 112272669498499. The next prime is 112272669498529. The reversal of 112272669498528 is 825894966272211.

112272669498528 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 2 + 6 + 6 + 9 + 4 + 98 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (112272669498529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38200974883 + ... + 38200977821.

It is an arithmetic number, because the mean of its divisors is an integer number (255185002800).

Almost surely, 2^{112272669498528} is an apocalyptic number.

112272669498528 is a gapful number since it is divisible by the number (18) 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 112272669498528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220479842419200).

112272669498528 is an abundant number, since it is smaller than the sum of its proper divisors (328687015339872).

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

112272669498528 is a wasteful number, since it uses less digits than its factorization.

112272669498528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3118 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 112272669498528 in words is "one hundred twelve trillion, two hundred seventy-two billion, six hundred sixty-nine million, four hundred ninety-eight thousand, five hundred twenty-eight".