111399456 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 31481856.

The previous prime is 111399439. The next prime is 111399467. The reversal of 111399456 is 654993111.

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

It is an unprimeable number.

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, 64330 + ... + 66038.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^111399456 is an apocalyptic number.

111399456 is a gapful number since it is divisible by the number (16) 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 111399456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

111399456 is an abundant number, since it is smaller than the sum of its proper divisors (226441824).

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

111399456 is a wasteful number, since it uses less digits than its factorization.

111399456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 111399456 is about 10554.5940708300. The cubic root of 111399456 is about 481.1653628411.

The spelling of 111399456 in words is "one hundred eleven million, three hundred ninety-nine thousand, four hundred fifty-six".