113004314640 has 480 divisors, whose sum is σ = 451357111296. Its totient is φ = 24800256000.

The previous prime is 113004314597. The next prime is 113004314651. The reversal of 113004314640 is 46413400311.

113004314640 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 4 + 3 + 14 + 640 = 666.

113004314640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113004314640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12550140 + ... + 12559140.

Almost surely, 2^113004314640 is an apocalyptic number.

113004314640 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 113004314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225678555648).

113004314640 is an abundant number, since it is smaller than the sum of its proper divisors (338352796656).

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

113004314640 is a wasteful number, since it uses less digits than its factorization.

113004314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113004314640 its reverse (46413400311), we get a palindrome (159417714951).

The spelling of 113004314640 in words is "one hundred thirteen billion, four million, three hundred fourteen thousand, six hundred forty".