113705258238 has 288 divisors, whose sum is σ = 297740771328. Its totient is φ = 31147079040.

The previous prime is 113705258231. The next prime is 113705258257. The reversal of 113705258238 is 832852507311.

113705258238 is a `hidden beast` number, since 1 + 1 + 37 + 0 + 5 + 2 + 582 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113705258193 and 113705258202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113705258231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370375281 + ... + 370375587.

Almost surely, 2^113705258238 is an apocalyptic number.

113705258238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113705258238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148870385664).

113705258238 is an abundant number, since it is smaller than the sum of its proper divisors (184035513090).

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

113705258238 is a wasteful number, since it uses less digits than its factorization.

113705258238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 113705258238 in words is "one hundred thirteen billion, seven hundred five million, two hundred fifty-eight thousand, two hundred thirty-eight".