115385128492032 has 1056 divisors, whose sum is σ = 404308033459200. Its totient is φ = 30999995744256.

The previous prime is 115385128492019. The next prime is 115385128492043. The reversal of 115385128492032 is 230294821583511.

115385128492032 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 8 + 512 + 8 + 4 + 92 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115385128492032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11155861453 + ... + 11155871795.

Almost surely, 2^{115385128492032} is an apocalyptic number.

115385128492032 is a gapful number since it is divisible by the number (12) 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 115385128492032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202154016729600).

115385128492032 is an abundant number, since it is smaller than the sum of its proper divisors (288922904967168).

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

115385128492032 is a wasteful number, since it uses less digits than its factorization.

115385128492032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10561 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 115385128492032 in words is "one hundred fifteen trillion, three hundred eighty-five billion, one hundred twenty-eight million, four hundred ninety-two thousand, thirty-two".