111705661440 has 896 divisors, whose sum is σ = 425591020800. Its totient is φ = 28092137472.

The previous prime is 111705661439. The next prime is 111705661451. The reversal of 111705661440 is 44166507111.

111705661440 is a `hidden beast` number, since 1 + 11 + 70 + 566 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111705661395 and 111705661404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2597806059 + ... + 2597806101.

Almost surely, 2^111705661440 is an apocalyptic number.

111705661440 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 111705661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212795510400).

111705661440 is an abundant number, since it is smaller than the sum of its proper divisors (313885359360).

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

111705661440 is an frugal number, since it uses more digits than its factorization.

111705661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 111705661440 in words is "one hundred eleven billion, seven hundred five million, six hundred sixty-one thousand, four hundred forty".