115200233159616 has 1120 divisors, whose sum is σ = 389144486184960. Its totient is φ = 33381360230400.

The previous prime is 115200233159537. The next prime is 115200233159651. The reversal of 115200233159616 is 616951332002511.

115200233159616 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 0 + 23 + 3 + 1 + 5 + 9 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 105398199966 + ... + 105398201058.

Almost surely, 2^{115200233159616} is an apocalyptic number.

115200233159616 is a gapful number since it is divisible by the number (16) 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 115200233159616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194572243092480).

115200233159616 is an abundant number, since it is smaller than the sum of its proper divisors (273944253025344).

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

115200233159616 is a wasteful number, since it uses less digits than its factorization.

115200233159616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 115200233159616 in words is "one hundred fifteen trillion, two hundred billion, two hundred thirty-three million, one hundred fifty-nine thousand, six hundred sixteen".