113814780283008 has 1024 divisors, whose sum is σ = 399882268800000. Its totient is φ = 31192878809088.

The previous prime is 113814780282991. The next prime is 113814780283013. The reversal of 113814780283008 is 800382087418311.

113814780283008 is a `hidden beast` number, since 1 + 13 + 81 + 478 + 0 + 2 + 83 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 18271754838 + ... + 18271761066.

It is an arithmetic number, because the mean of its divisors is an integer number (390510028125).

Almost surely, 2^{113814780283008} is an apocalyptic number.

113814780283008 is a gapful number since it is divisible by the number (18) 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 113814780283008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199941134400000).

113814780283008 is an abundant number, since it is smaller than the sum of its proper divisors (286067488516992).

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

113814780283008 is a wasteful number, since it uses less digits than its factorization.

113814780283008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 113814780283008 in words is "one hundred thirteen trillion, eight hundred fourteen billion, seven hundred eighty million, two hundred eighty-three thousand, eight".