111119948743680 has 264 divisors, whose sum is σ = 387022721947992. Its totient is φ = 29478450364416.

The previous prime is 111119948743673. The next prime is 111119948743709. The reversal of 111119948743680 is 86347849911111.

111119948743680 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 1 + 99 + 487 + 4 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2080240828416 + 109039707915264 = 1442304^2 + 10442208^2 .

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 23 ways as a sum of consecutive naturals, for example, 2646142 + ... + 15140738.

Almost surely, 2^{111119948743680} is an apocalyptic number.

111119948743680 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 111119948743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193511360973996).

111119948743680 is an abundant number, since it is smaller than the sum of its proper divisors (275902773204312).

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

111119948743680 is a wasteful number, since it uses less digits than its factorization.

111119948743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494821 (or 12494800 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 111119948743680 in words is "one hundred eleven trillion, one hundred nineteen billion, nine hundred forty-eight million, seven hundred forty-three thousand, six hundred eighty".