111125856441600 has 11664 divisors, whose sum is σ = 621977495892480. Its totient is φ = 19005190963200.

The previous prime is 111125856441569. The next prime is 111125856441623. The reversal of 111125856441600 is 6144658521111.

111125856441600 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 585 + 6 + 4 + 4 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1295 ways as a sum of consecutive naturals, for example, 5848729286391 + ... + 5848729286409.

Almost surely, 2^{111125856441600} is an apocalyptic number.

111125856441600 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 111125856441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310988747946240).

111125856441600 is an abundant number, since it is smaller than the sum of its proper divisors (510851639450880).

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

111125856441600 is a wasteful number, since it uses less digits than its factorization.

111125856441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 111125856441600 in words is "one hundred eleven trillion, one hundred twenty-five billion, eight hundred fifty-six million, four hundred forty-one thousand, six hundred".