117167652140256 has 288 divisors, whose sum is σ = 343771831323648. Its totient is φ = 37826222607360.

The previous prime is 117167652140239. The next prime is 117167652140333. The reversal of 117167652140256 is 652041256761711.

117167652140256 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 6 + 76 + 521 + 40 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2282031321 + ... + 2282082663.

It is an arithmetic number, because the mean of its divisors is an integer number (1193652192096).

Almost surely, 2^{117167652140256} is an apocalyptic number.

117167652140256 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 117167652140256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171885915661824).

117167652140256 is an abundant number, since it is smaller than the sum of its proper divisors (226604179183392).

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

117167652140256 is a wasteful number, since it uses less digits than its factorization.

117167652140256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52374 (or 52363 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 117167652140256 in words is "one hundred seventeen trillion, one hundred sixty-seven billion, six hundred fifty-two million, one hundred forty thousand, two hundred fifty-six".