111729346560 has 288 divisors, whose sum is σ = 417025528920. Its totient is φ = 27502313472.

The previous prime is 111729346559. The next prime is 111729346577. The reversal of 111729346560 is 65643927111.

111729346560 is a `hidden beast` number, since 1 + 11 + 72 + 9 + 3 + 4 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97763779584 + 13965566976 = 312672^2 + 118176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151452 + ... + 1244708.

Almost surely, 2^111729346560 is an apocalyptic number.

111729346560 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 111729346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208512764460).

111729346560 is an abundant number, since it is smaller than the sum of its proper divisors (305296182360).

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

111729346560 is a wasteful number, since it uses less digits than its factorization.

111729346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93303 (or 93280 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 111729346560 in words is "one hundred eleven billion, seven hundred twenty-nine million, three hundred forty-six thousand, five hundred sixty".