113682303221760 has 3264 divisors, whose sum is σ = 521312106631680. Its totient is φ = 23115815976960.

The previous prime is 113682303221717. The next prime is 113682303221881. The reversal of 113682303221760 is 67122303286311.

113682303221760 is a `hidden beast` number, since 1 + 1 + 3 + 68 + 2 + 303 + 221 + 7 + 60 = 666.

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

It is a congruent number.

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, 210133647090 + ... + 210133647630.

Almost surely, 2^{113682303221760} is an apocalyptic number.

113682303221760 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 113682303221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260656053315840).

113682303221760 is an abundant number, since it is smaller than the sum of its proper divisors (407629803409920).

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

113682303221760 is an frugal number, since it uses more digits than its factorization.

113682303221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 113682303221760 in words is "one hundred thirteen trillion, six hundred eighty-two billion, three hundred three million, two hundred twenty-one thousand, seven hundred sixty".