111314917440 has 392 divisors, whose sum is σ = 420813875160. Its totient is φ = 27936866304.

The previous prime is 111314917411. The next prime is 111314917501. The reversal of 111314917440 is 44719413111.

It is a happy number.

111314917440 is a `hidden beast` number, since 1 + 113 + 14 + 91 + 7 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7316407296 + 103998510144 = 85536^2 + 322488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 111314917395 and 111314917404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3951726 + ... + 3979794.

Almost surely, 2^111314917440 is an apocalyptic number.

111314917440 is a gapful number since it is divisible by the number (10) 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 111314917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210406937580).

111314917440 is an abundant number, since it is smaller than the sum of its proper divisors (309498957720).

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

111314917440 is an equidigital number, since it uses as much as digits as its factorization.

111314917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28121 (or 28096 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 111314917440 in words is "one hundred eleven billion, three hundred fourteen million, nine hundred seventeen thousand, four hundred forty".