111145538880000 has 1600 divisors, whose sum is σ = 421605488557440. Its totient is φ = 28892160000000.

The previous prime is 111145538879867. The next prime is 111145538880011. The reversal of 111145538880000 is 88835541111.

111145538880000 is a `hidden beast` number, since 1 + 1 + 1 + 14 + 553 + 8 + 8 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

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, 58466879050 + ... + 58466880950.

Almost surely, 2^{111145538880000} is an apocalyptic number.

111145538880000 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 111145538880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210802744278720).

111145538880000 is an abundant number, since it is smaller than the sum of its proper divisors (310459949677440).

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

111145538880000 is an equidigital number, since it uses as much as digits as its factorization.

111145538880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 45.

The spelling of 111145538880000 in words is "one hundred eleven trillion, one hundred forty-five billion, five hundred thirty-eight million, eight hundred eighty thousand".