115067061648 has 400 divisors, whose sum is σ = 429544114560. Its totient is φ = 28856217600.

The previous prime is 115067061623. The next prime is 115067061649. The reversal of 115067061648 is 846160760511.

115067061648 is a `hidden beast` number, since 11 + 506 + 70 + 6 + 1 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (115067061649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2874088 + ... + 2913848.

Almost surely, 2^115067061648 is an apocalyptic number.

115067061648 is a gapful number since it is divisible by the number (18) 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 115067061648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214772057280).

115067061648 is an abundant number, since it is smaller than the sum of its proper divisors (314477052912).

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

115067061648 is a wasteful number, since it uses less digits than its factorization.

115067061648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39828 (or 39813 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 115067061648 in words is "one hundred fifteen billion, sixty-seven million, sixty-one thousand, six hundred forty-eight".