111948000075 has 120 divisors (see below), whose sum is σ = 219925031040. Its totient is φ = 56101248000.

The previous prime is 111948000053. The next prime is 111948000083. The reversal of 111948000075 is 570000849111.

It is not a de Polignac number, because 111948000075 - 2¹⁷ = 111947869003 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24129606 + ... + 24134244.

It is an arithmetic number, because the mean of its divisors is an integer number (1832708592).

Almost surely, 2^111948000075 is an apocalyptic number.

111948000075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111948000075 is a deficient number, since it is larger than the sum of its proper divisors (107977030965).

111948000075 is a wasteful number, since it uses less digits than its factorization.

111948000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 111948000075 its reverse (570000849111), we get a palindrome (681948849186).

The spelling of 111948000075 in words is "one hundred eleven billion, nine hundred forty-eight million, seventy-five", and thus it is an aban number.