111689640000 has 315 divisors, whose sum is σ = 400764180817. Its totient is φ = 29730432000.

The previous prime is 111689639989. The next prime is 111689640019. The reversal of 111689640000 is 46986111.

It is a happy number.

The square root of 111689640000 is 334200.

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

111689640000 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 9 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 111657559104 + 32080896 = 334152^2 + 5664^2 .

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

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 200519722 + ... + 200520278.

Almost surely, 2^111689640000 is an apocalyptic number.

111689640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111689640000 is the 334200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111689640000

111689640000 is an abundant number, since it is smaller than the sum of its proper divisors (289074540817).

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

111689640000 is an frugal number, since it uses more digits than its factorization.

111689640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 111689640000 by its sum of digits (36), we get a square (4020827040000 = 2005200²).

111689640000 divided by its sum of digits (36) gives a square (3102490000 = 55700²).

It can be divided in two parts, 111689 and 640000, that added together give a square (751689 = 867²).

The spelling of 111689640000 in words is "one hundred eleven billion, six hundred eighty-nine million, six hundred forty thousand".