117617712328900 has 135 divisors (see below), whose sum is σ = 297764578180391. Its totient is φ = 40324250809920.

The previous prime is 117617712328871. The next prime is 117617712328903. The reversal of 117617712328900 is 9823217716711.

The square root of 117617712328900 is 10845170.

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 2892019952836 + 114725692376064 = 1700594^2 + 10711008^2 .

It is not an unprimeable number, because it can be changed into a prime (117617712328903) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 5314122234 + ... + 5314144366.

Almost surely, 2^{117617712328900} is an apocalyptic number.

117617712328900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117617712328900 is the 10845170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117617712328900

117617712328900 is an abundant number, since it is smaller than the sum of its proper divisors (180146865851491).

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

117617712328900 is an frugal number, since it uses more digits than its factorization.

117617712328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44308 (or 22147 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 55.

The spelling of 117617712328900 in words is "one hundred seventeen trillion, six hundred seventeen billion, seven hundred twelve million, three hundred twenty-eight thousand, nine hundred".