111911855745600 has 567 divisors, whose sum is σ = 400674455377833. Its totient is φ = 29626168366080.

The previous prime is 111911855745589. The next prime is 111911855745611. The reversal of 111911855745600 is 6547558119111.

It is a happy number.

The square root of 111911855745600 is 10578840.

It is a perfect power (a square), and thus also a powerful number.

111911855745600 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 1 + 1 + 8 + 5 + 5 + 74 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111911855745589) and next prime (111911855745611).

It can be written as a sum of positive squares in only one way, i.e., 40288268068416 + 71623587677184 = 6347304^2 + 8463072^2 .

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 80 ways as a sum of consecutive naturals, for example, 252622698979 + ... + 252622699421.

Almost surely, 2^{111911855745600} is an apocalyptic number.

111911855745600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111911855745600 is the 10578840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111911855745600

111911855745600 is an abundant number, since it is smaller than the sum of its proper divisors (288762599632233).

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

111911855745600 is an frugal number, since it uses more digits than its factorization.

111911855745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 54.

The spelling of 111911855745600 in words is "one hundred eleven trillion, nine hundred eleven billion, eight hundred fifty-five million, seven hundred forty-five thousand, six hundred".