113335882506 has 480 divisors, whose sum is σ = 344597514624. Its totient is φ = 27662342400.

The previous prime is 113335882453. The next prime is 113335882529. The reversal of 113335882506 is 605288533311.

113335882506 is a `hidden beast` number, since 1 + 1 + 33 + 35 + 8 + 82 + 506 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 179612811 + ... + 179613441.

Almost surely, 2^113335882506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113335882506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172298757312).

113335882506 is an abundant number, since it is smaller than the sum of its proper divisors (231261632118).

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

113335882506 is a wasteful number, since it uses less digits than its factorization.

113335882506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 113335882506 in words is "one hundred thirteen billion, three hundred thirty-five million, eight hundred eighty-two thousand, five hundred six".