115813128485376 has 1600 divisors, whose sum is σ = 433278938087424. Its totient is φ = 30034221465600.

The previous prime is 115813128485371. The next prime is 115813128485423. The reversal of 115813128485376 is 673584821318511.

115813128485376 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 1 + 3 + 12 + 84 + 8 + 537 + 6 = 666.

It is a super-2 number, since 2×115813128485376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (115813128485371) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50639757705 + ... + 50639759991.

Almost surely, 2^{115813128485376} is an apocalyptic number.

115813128485376 is a gapful number since it is divisible by the number (16) 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 115813128485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216639469043712).

115813128485376 is an abundant number, since it is smaller than the sum of its proper divisors (317465809602048).

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

115813128485376 is a wasteful number, since it uses less digits than its factorization.

115813128485376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2678 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 115813128485376 in words is "one hundred fifteen trillion, eight hundred thirteen billion, one hundred twenty-eight million, four hundred eighty-five thousand, three hundred seventy-six".