111067648338241 has 8 divisors (see below), whose sum is σ = 127860984115200. Its totient is φ = 94505944779168.

The previous prime is 111067648338211. The next prime is 111067648338263. The reversal of 111067648338241 is 142833846760111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111067648338241 - 2²⁵ = 111067614783809 is a prime.

It is a super-3 number, since 3×111067648338241³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (111067648338211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57908053441 + ... + 57908055358.

It is an arithmetic number, because the mean of its divisors is an integer number (15982623014400).

Almost surely, 2^{111067648338241} is an apocalyptic number.

It is an amenable number.

111067648338241 is a deficient number, since it is larger than the sum of its proper divisors (16793335776959).

111067648338241 is a wasteful number, since it uses less digits than its factorization.

111067648338241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115816108943.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 111067648338241 in words is "one hundred eleven trillion, sixty-seven billion, six hundred forty-eight million, three hundred thirty-eight thousand, two hundred forty-one".