111591648 has 96 divisors (see below), whose sum is σ = 371992320. Its totient is φ = 31881600.

The previous prime is 111591647. The next prime is 111591673. The reversal of 111591648 is 846195111.

It is a happy number.

111591648 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 9 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111591647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3178 + ... + 15273.

It is an arithmetic number, because the mean of its divisors is an integer number (3874920).

Almost surely, 2^111591648 is an apocalyptic number.

111591648 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 111591648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185996160).

111591648 is an abundant number, since it is smaller than the sum of its proper divisors (260400672).

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

111591648 is a wasteful number, since it uses less digits than its factorization.

111591648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18463 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 111591648 is about 10563.6948081625. The cubic root of 111591648 is about 481.4419141701.

The spelling of 111591648 in words is "one hundred eleven million, five hundred ninety-one thousand, six hundred forty-eight".