111156198508096 has 189 divisors, whose sum is σ = 261092401525227. Its totient is φ = 46816264830720.

The previous prime is 111156198508057. The next prime is 111156198508151. The reversal of 111156198508096 is 690805891651111.

The square root of 111156198508096 is 10543064.

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

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 34834281861 + ... + 34834285051.

Almost surely, 2^{111156198508096} is an apocalyptic number.

111156198508096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111156198508096 is the 10543064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111156198508096

111156198508096 is an abundant number, since it is smaller than the sum of its proper divisors (149936203017131).

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

111156198508096 is an frugal number, since it uses more digits than its factorization.

111156198508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 61.

The spelling of 111156198508096 in words is "one hundred eleven trillion, one hundred fifty-six billion, one hundred ninety-eight million, five hundred eight thousand, ninety-six".