117624753652 has 576 divisors, whose sum is σ = 301038796800. Its totient is φ = 39086530560.

The previous prime is 117624753647. The next prime is 117624753661. The reversal of 117624753652 is 256357426711.

It is a junction number, because it is equal to n+sod(n) for n = 117624753596 and 117624753605.

It is a congruent number.

It is an unprimeable number.

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, 3179047378 + ... + 3179047414.

It is an arithmetic number, because the mean of its divisors is an integer number (522636800).

Almost surely, 2^117624753652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117624753652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150519398400).

117624753652 is an abundant number, since it is smaller than the sum of its proper divisors (183414043148).

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

117624753652 is a wasteful number, since it uses less digits than its factorization.

117624753652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 49.

The spelling of 117624753652 in words is "one hundred seventeen billion, six hundred twenty-four million, seven hundred fifty-three thousand, six hundred fifty-two".