111925581468480 has 1120 divisors, whose sum is σ = 454208450240160. Its totient is φ = 25917597941760.

The previous prime is 111925581468479. The next prime is 111925581468521. The reversal of 111925581468480 is 84864185529111.

111925581468480 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 2 + 5 + 5 + 8 + 146 + 8 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 79468952095296 + 32456629373184 = 8914536^2 + 5697072^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17007378790 + ... + 17007385370.

It is an arithmetic number, because the mean of its divisors is an integer number (405543259143).

Almost surely, 2^{111925581468480} is an apocalyptic number.

111925581468480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111925581468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227104225120080).

111925581468480 is an abundant number, since it is smaller than the sum of its proper divisors (342282868771680).

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

111925581468480 is a wasteful number, since it uses less digits than its factorization.

111925581468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 63.

The spelling of 111925581468480 in words is "one hundred eleven trillion, nine hundred twenty-five billion, five hundred eighty-one million, four hundred sixty-eight thousand, four hundred eighty".