115433356356 has 288 divisors, whose sum is σ = 316310248800. Its totient is φ = 35424829440.

The previous prime is 115433356343. The next prime is 115433356369. The reversal of 115433356356 is 653653334511.

115433356356 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 3 + 3 + 3 + 5 + 635 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (115433356343) and next prime (115433356369).

It can be written as a sum of positive squares in 16 ways, for example, as 88869572100 + 26563784256 = 298110^2 + 162984^2 .

It is a super-2 number, since 2×115433356356² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598100196 + ... + 598100388.

It is an arithmetic number, because the mean of its divisors is an integer number (1098299475).

Almost surely, 2^115433356356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115433356356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158155124400).

115433356356 is an abundant number, since it is smaller than the sum of its proper divisors (200876892444).

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

115433356356 is a wasteful number, since it uses less digits than its factorization.

115433356356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 514 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 115433356356 in words is "one hundred fifteen billion, four hundred thirty-three million, three hundred fifty-six thousand, three hundred fifty-six".