113333683680 has 1728 divisors, whose sum is σ = 511974328320. Its totient is φ = 23514624000.

The previous prime is 113333683663. The next prime is 113333683681. The reversal of 113333683680 is 86386333311.

113333683680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113333683681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1122115630 + ... + 1122115730.

It is an arithmetic number, because the mean of its divisors is an integer number (296281440).

Almost surely, 2^113333683680 is an apocalyptic number.

113333683680 is a gapful number since it is divisible by the number (10) 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 113333683680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255987164160).

113333683680 is an abundant number, since it is smaller than the sum of its proper divisors (398640644640).

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

113333683680 is a wasteful number, since it uses less digits than its factorization.

113333683680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 113333683680 in words is "one hundred thirteen billion, three hundred thirty-three million, six hundred eighty-three thousand, six hundred eighty".