117317210256 has 405 divisors, whose sum is σ = 369660903339. Its totient is φ = 34722902016.

The previous prime is 117317210251. The next prime is 117317210267. The reversal of 117317210256 is 652012713711.

The square root of 117317210256 is 342516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14814784656 + 102502425600 = 121716^2 + 320160^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 117317210256.

It is not an unprimeable number, because it can be changed into a prime (117317210251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1607085036 + ... + 1607085108.

Almost surely, 2^117317210256 is an apocalyptic number.

117317210256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

117317210256 is the 342516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117317210256

117317210256 is an abundant number, since it is smaller than the sum of its proper divisors (252343693083).

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

117317210256 is a wasteful number, since it uses less digits than its factorization.

117317210256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 117317210256 by its sum of digits (36), we get a square (4223419569216 = 2055096²).

117317210256 divided by its sum of digits (36) gives a square (3258811396 = 57086²).

Adding to 117317210256 its reverse (652012713711), we get a palindrome (769329923967).

The spelling of 117317210256 in words is "one hundred seventeen billion, three hundred seventeen million, two hundred ten thousand, two hundred fifty-six".