113182450920 has 768 divisors, whose sum is σ = 474141358080. Its totient is φ = 22730803200.

The previous prime is 113182450897. The next prime is 113182450937. The reversal of 113182450920 is 29054281311.

113182450920 is a `hidden beast` number, since 1 + 1 + 3 + 182 + 450 + 9 + 20 = 666.

It is a super-3 number, since 3×113182450920³ (a number of 34 digits) contains 333 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 216409779 + ... + 216410301.

It is an arithmetic number, because the mean of its divisors is an integer number (617371560).

Almost surely, 2^113182450920 is an apocalyptic number.

113182450920 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 113182450920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237070679040).

113182450920 is an abundant number, since it is smaller than the sum of its proper divisors (360958907160).

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

113182450920 is a wasteful number, since it uses less digits than its factorization.

113182450920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113182450920 in words is "one hundred thirteen billion, one hundred eighty-two million, four hundred fifty thousand, nine hundred twenty".