111824819145 has 24 divisors (see below), whose sum is σ = 208739663496. Its totient is φ = 55052218368.

The previous prime is 111824819131. The next prime is 111824819153. The reversal of 111824819145 is 541918428111.

111824819145 is a `hidden beast` number, since 1 + 1 + 1 + 82 + 481 + 91 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6052217616 + 105772601529 = 77796^2 + 325227^2 .

It is not a de Polignac number, because 111824819145 - 2¹⁰ = 111824818121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 111824819145.

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 23 ways as a sum of consecutive naturals, for example, 95576184 + ... + 95577353.

It is an arithmetic number, because the mean of its divisors is an integer number (8697485979).

Almost surely, 2^111824819145 is an apocalyptic number.

111824819145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111824819145 is a deficient number, since it is larger than the sum of its proper divisors (96914844351).

111824819145 is a wasteful number, since it uses less digits than its factorization.

111824819145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191153561 (or 191153558 counting only the distinct ones).

The product of its digits is 92160, while the sum is 45.

The spelling of 111824819145 in words is "one hundred eleven billion, eight hundred twenty-four million, eight hundred nineteen thousand, one hundred forty-five".