111609463680 has 1536 divisors, whose sum is σ = 490062182400. Its totient is φ = 23655628800.

The previous prime is 111609463663. The next prime is 111609463723. The reversal of 111609463680 is 86364906111.

111609463680 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 0 + 9 + 4 + 636 + 8 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2374669417 + ... + 2374669463.

It is an arithmetic number, because the mean of its divisors is an integer number (319050900).

Almost surely, 2^111609463680 is an apocalyptic number.

111609463680 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 111609463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245031091200).

111609463680 is an abundant number, since it is smaller than the sum of its proper divisors (378452718720).

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

111609463680 is a wasteful number, since it uses less digits than its factorization.

111609463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 111609463680 in words is "one hundred eleven billion, six hundred nine million, four hundred sixty-three thousand, six hundred eighty".