115526729448 has 192 divisors, whose sum is σ = 342501344640. Its totient is φ = 34963011072.

The previous prime is 115526729407. The next prime is 115526729491. The reversal of 115526729448 is 844927625511.

115526729448 is a `hidden beast` number, since 1 + 1 + 5 + 526 + 72 + 9 + 4 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115526729394 and 115526729403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66661990 + ... + 66663722.

It is an arithmetic number, because the mean of its divisors is an integer number (1783861170).

Almost surely, 2^115526729448 is an apocalyptic number.

115526729448 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 115526729448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171250672320).

115526729448 is an abundant number, since it is smaller than the sum of its proper divisors (226974615192).

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

115526729448 is a wasteful number, since it uses less digits than its factorization.

115526729448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2881 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 115526729448 in words is "one hundred fifteen billion, five hundred twenty-six million, seven hundred twenty-nine thousand, four hundred forty-eight".