111721669248 has 128 divisors (see below), whose sum is σ = 340012609920. Its totient is φ = 31839768576.

The previous prime is 111721669229. The next prime is 111721669313. The reversal of 111721669248 is 842966127111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 111721669197 and 111721669206.

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 15 ways as a sum of consecutive naturals, for example, 1014790 + ... + 1119482.

It is an arithmetic number, because the mean of its divisors is an integer number (2656348515).

Almost surely, 2^111721669248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111721669248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170006304960).

111721669248 is an abundant number, since it is smaller than the sum of its proper divisors (228290940672).

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

111721669248 is a wasteful number, since it uses less digits than its factorization.

111721669248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105114 (or 105102 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The spelling of 111721669248 in words is "one hundred eleven billion, seven hundred twenty-one million, six hundred sixty-nine thousand, two hundred forty-eight".