115455829248 has 360 divisors, whose sum is σ = 365317333920. Its totient is φ = 36165242880.

The previous prime is 115455829211. The next prime is 115455829277. The reversal of 115455829248 is 842928554511.

It is a happy number.

115455829248 is a `hidden beast` number, since 1 + 1 + 54 + 5 + 582 + 9 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115455829194 and 115455829203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51610786 + ... + 51613022.

It is an arithmetic number, because the mean of its divisors is an integer number (1014770372).

Almost surely, 2^115455829248 is an apocalyptic number.

115455829248 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 115455829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182658666960).

115455829248 is an abundant number, since it is smaller than the sum of its proper divisors (249861504672).

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

115455829248 is a wasteful number, since it uses less digits than its factorization.

115455829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2392 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 54.

The spelling of 115455829248 in words is "one hundred fifteen billion, four hundred fifty-five million, eight hundred twenty-nine thousand, two hundred forty-eight".