111641886720 has 792 divisors, whose sum is σ = 478955848176. Its totient is φ = 23555211264.

The previous prime is 111641886709. The next prime is 111641886751. The reversal of 111641886720 is 27688146111.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8587837434 + ... + 8587837446.

Almost surely, 2^111641886720 is an apocalyptic number.

111641886720 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 111641886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239477924088).

111641886720 is an abundant number, since it is smaller than the sum of its proper divisors (367313961456).

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

111641886720 is an frugal number, since it uses more digits than its factorization.

111641886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 111641886720 in words is "one hundred eleven billion, six hundred forty-one million, eight hundred eighty-six thousand, seven hundred twenty".