117157050706752 has 224 divisors, whose sum is σ = 394184440016640. Its totient is φ = 33425689651200.

The previous prime is 117157050706741. The next prime is 117157050706753. The reversal of 117157050706752 is 257607050751711.

117157050706752 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 5 + 70 + 507 + 0 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (117157050706753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570878 + ... + 15387714.

It is an arithmetic number, because the mean of its divisors is an integer number (1759751964360).

Almost surely, 2^{117157050706752} is an apocalyptic number.

117157050706752 is a gapful number since it is divisible by the number (12) 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 117157050706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197092220008320).

117157050706752 is an abundant number, since it is smaller than the sum of its proper divisors (277027389309888).

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

117157050706752 is a wasteful number, since it uses less digits than its factorization.

117157050706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13817566 (or 13817550 counting only the distinct ones).

The product of its (nonzero) digits is 3601500, while the sum is 54.

The spelling of 117157050706752 in words is "one hundred seventeen trillion, one hundred fifty-seven billion, fifty million, seven hundred six thousand, seven hundred fifty-two".