111728950064 has 160 divisors (see below), whose sum is σ = 241505971200. Its totient is φ = 49861647360.

The previous prime is 111728950057. The next prime is 111728950169. The reversal of 111728950064 is 460059827111.

It is a junction number, because it is equal to n+sod(n) for n = 111728949997 and 111728950024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64470542 + ... + 64472274.

It is an arithmetic number, because the mean of its divisors is an integer number (1509412320).

Almost surely, 2^111728950064 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 111728950064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120752985600).

111728950064 is an abundant number, since it is smaller than the sum of its proper divisors (129777021136).

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

111728950064 is a wasteful number, since it uses less digits than its factorization.

111728950064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The spelling of 111728950064 in words is "one hundred eleven billion, seven hundred twenty-eight million, nine hundred fifty thousand, sixty-four".