111096368640 has 320 divisors, whose sum is σ = 403811654400. Its totient is φ = 28935954432.

The previous prime is 111096368587. The next prime is 111096368659. The reversal of 111096368640 is 46863690111.

111096368640 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 9 + 636 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 2953471 + ... + 2990849.

It is an arithmetic number, because the mean of its divisors is an integer number (1261911420).

Almost surely, 2^111096368640 is an apocalyptic number.

111096368640 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 111096368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201905827200).

111096368640 is an abundant number, since it is smaller than the sum of its proper divisors (292715285760).

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

111096368640 is an equidigital number, since it uses as much as digits as its factorization.

111096368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37454 (or 37432 counting only the distinct ones).

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

The spelling of 111096368640 in words is "one hundred eleven billion, ninety-six million, three hundred sixty-eight thousand, six hundred forty".