115446548448 has 576 divisors, whose sum is σ = 429596504064. Its totient is φ = 28532736000.

The previous prime is 115446548431. The next prime is 115446548461. The reversal of 115446548448 is 844845644511.

115446548448 is a `hidden beast` number, since 1 + 1 + 54 + 4 + 6 + 548 + 4 + 48 = 666.

It is a super-2 number, since 2×115446548448² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115446548394 and 115446548403.

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 95 ways as a sum of consecutive naturals, for example, 41933440 + ... + 41936192.

It is an arithmetic number, because the mean of its divisors is an integer number (745827264).

Almost surely, 2^115446548448 is an apocalyptic number.

115446548448 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 115446548448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214798252032).

115446548448 is an abundant number, since it is smaller than the sum of its proper divisors (314149955616).

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

115446548448 is a wasteful number, since it uses less digits than its factorization.

115446548448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2868 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 54.

The spelling of 115446548448 in words is "one hundred fifteen billion, four hundred forty-six million, five hundred forty-eight thousand, four hundred forty-eight".