111983727744 has 512 divisors, whose sum is σ = 396019814400. Its totient is φ = 30459027456.

The previous prime is 111983727677. The next prime is 111983727749. The reversal of 111983727744 is 447727389111.

111983727744 is a `hidden beast` number, since 11 + 198 + 372 + 7 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111983727749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174157887 + ... + 174158529.

It is an arithmetic number, because the mean of its divisors is an integer number (773476200).

Almost surely, 2^111983727744 is an apocalyptic number.

111983727744 is a gapful number since it is divisible by the number (14) 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 111983727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198009907200).

111983727744 is an abundant number, since it is smaller than the sum of its proper divisors (284036086656).

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

111983727744 is a wasteful number, since it uses less digits than its factorization.

111983727744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 991 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 111983727744 in words is "one hundred eleven billion, nine hundred eighty-three million, seven hundred twenty-seven thousand, seven hundred forty-four".