111223947445632 has 1536 divisors, whose sum is σ = 406384434892800. Its totient is φ = 28502227353600.

The previous prime is 111223947445613. The next prime is 111223947445649. The reversal of 111223947445632 is 236544749322111.

111223947445632 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 3 + 9 + 4 + 74 + 4 + 563 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 28792114933 + ... + 28792118795.

It is an arithmetic number, because the mean of its divisors is an integer number (264573199800).

Almost surely, 2^{111223947445632} is an apocalyptic number.

111223947445632 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 111223947445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203192217446400).

111223947445632 is an abundant number, since it is smaller than the sum of its proper divisors (295160487447168).

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

111223947445632 is a wasteful number, since it uses less digits than its factorization.

111223947445632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4081 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 111223947445632 in words is "one hundred eleven trillion, two hundred twenty-three billion, nine hundred forty-seven million, four hundred forty-five thousand, six hundred thirty-two".