111861228631680 has 1024 divisors, whose sum is σ = 450617499648000. Its totient is φ = 25976448368640.

The previous prime is 111861228631679. The next prime is 111861228631693. The reversal of 111861228631680 is 86136822168111.

111861228631680 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 612 + 2 + 8 + 6 + 3 + 16 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 699984747 + ... + 700144533.

It is an arithmetic number, because the mean of its divisors is an integer number (440056152000).

Almost surely, 2^{111861228631680} is an apocalyptic number.

111861228631680 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 111861228631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308749824000).

111861228631680 is an abundant number, since it is smaller than the sum of its proper divisors (338756271016320).

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

111861228631680 is a wasteful number, since it uses less digits than its factorization.

111861228631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159982 (or 159964 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 111861228631680 in words is "one hundred eleven trillion, eight hundred sixty-one billion, two hundred twenty-eight million, six hundred thirty-one thousand, six hundred eighty".