113205635352 has 192 divisors, whose sum is σ = 315773640000. Its totient is φ = 36623987712.

The previous prime is 113205635351. The next prime is 113205635423. The reversal of 113205635352 is 253536502311.

113205635352 is a `hidden beast` number, since 1 + 13 + 2 + 0 + 5 + 635 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205635351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222407674 + ... + 222408182.

It is an arithmetic number, because the mean of its divisors is an integer number (1644654375).

Almost surely, 2^113205635352 is an apocalyptic number.

113205635352 is a gapful number since it is divisible by the number (12) 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 113205635352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886820000).

113205635352 is an abundant number, since it is smaller than the sum of its proper divisors (202568004648).

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

113205635352 is a wasteful number, since it uses less digits than its factorization.

113205635352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 113205635352 in words is "one hundred thirteen billion, two hundred five million, six hundred thirty-five thousand, three hundred fifty-two".