117535383504 has 960 divisors, whose sum is σ = 465741619200. Its totient is φ = 27956275200.

The previous prime is 117535383491. The next prime is 117535383509. The reversal of 117535383504 is 405383535711.

117535383504 is a `hidden beast` number, since 1 + 17 + 5 + 3 + 53 + 83 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 117535383504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117535383509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137147044 + ... + 137147900.

It is an arithmetic number, because the mean of its divisors is an integer number (485147520).

Almost surely, 2^117535383504 is an apocalyptic number.

117535383504 is a gapful number since it is divisible by the number (14) 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 117535383504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232870809600).

117535383504 is an abundant number, since it is smaller than the sum of its proper divisors (348206235696).

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

117535383504 is a wasteful number, since it uses less digits than its factorization.

117535383504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 117535383504 in words is "one hundred seventeen billion, five hundred thirty-five million, three hundred eighty-three thousand, five hundred four".