117529110144 has 192 divisors, whose sum is σ = 355800276000. Its totient is φ = 37183727616.

The previous prime is 117529110133. The next prime is 117529110151. The reversal of 117529110144 is 441011925711.

117529110144 is a `hidden beast` number, since 1 + 1 + 7 + 529 + 110 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 117529110099 and 117529110108.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1941259 + ... + 2000885.

Almost surely, 2^117529110144 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 117529110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177900138000).

117529110144 is an abundant number, since it is smaller than the sum of its proper divisors (238271165856).

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

117529110144 is a wasteful number, since it uses less digits than its factorization.

117529110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59735 (or 59720 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 117529110144 in words is "one hundred seventeen billion, five hundred twenty-nine million, one hundred ten thousand, one hundred forty-four".