117503882496 has 2016 divisors, whose sum is σ = 513447959808. Its totient is φ = 25798901760.

The previous prime is 117503882491. The next prime is 117503882519. The reversal of 117503882496 is 694288305711.

117503882496 is a `hidden beast` number, since 1 + 1 + 75 + 0 + 3 + 8 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117503882491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3175780590 + ... + 3175780626.

It is an arithmetic number, because the mean of its divisors is an integer number (254686488).

It is a 1-persistent number, because it is pandigital, but 2⋅117503882496 = 235007764992 is not.

Almost surely, 2^117503882496 is an apocalyptic number.

117503882496 is a gapful number since it is divisible by the number (16) 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 117503882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256723979904).

117503882496 is an abundant number, since it is smaller than the sum of its proper divisors (395944077312).

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

117503882496 is a wasteful number, since it uses less digits than its factorization.

117503882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 117503 and 882496, that added together give a palindrome (999999).

The spelling of 117503882496 in words is "one hundred seventeen billion, five hundred three million, eight hundred eighty-two thousand, four hundred ninety-six".