115983515648 has 480 divisors, whose sum is σ = 331584580800. Its totient is φ = 39258685440.

The previous prime is 115983515647. The next prime is 115983515651. The reversal of 115983515648 is 846515389511.

It is a super-3 number, since 3×115983515648³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (5184000) is a multiple of the sum of its prime divisors (50).

It is a junction number, because it is equal to n+sod(n) for n = 115983515593 and 115983515602.

It is not an unprimeable number, because it can be changed into a prime (115983515647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6822559736 + ... + 6822559752.

It is an arithmetic number, because the mean of its divisors is an integer number (690801210).

Almost surely, 2^115983515648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115983515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165792290400).

115983515648 is an abundant number, since it is smaller than the sum of its proper divisors (215601065152).

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

115983515648 is an frugal number, since it uses more digits than its factorization.

115983515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 50 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 56.

The spelling of 115983515648 in words is "one hundred fifteen billion, nine hundred eighty-three million, five hundred fifteen thousand, six hundred forty-eight".