115310886945408 has 1536 divisors, whose sum is σ = 429170317056000. Its totient is φ = 28848785817600.

The previous prime is 115310886945367. The next prime is 115310886945413. The reversal of 115310886945408 is 804549688013511.

115310886945408 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 1 + 0 + 8 + 86 + 9 + 4 + 540 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186285762123 + ... + 186285762741.

It is an arithmetic number, because the mean of its divisors is an integer number (279407758500).

Almost surely, 2^{115310886945408} is an apocalyptic number.

115310886945408 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 115310886945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214585158528000).

115310886945408 is an abundant number, since it is smaller than the sum of its proper divisors (313859430110592).

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

115310886945408 is a wasteful number, since it uses less digits than its factorization.

115310886945408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 115310886945408 in words is "one hundred fifteen trillion, three hundred ten billion, eight hundred eighty-six million, nine hundred forty-five thousand, four hundred eight".