114844358170116 has 243 divisors, whose sum is σ = 301866858379359. Its totient is φ = 36814164678144.

The previous prime is 114844358170063. The next prime is 114844358170151. The reversal of 114844358170116 is 611071853448411.

The square root of 114844358170116 is 10716546.

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

114844358170116 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 4 + 4 + 358 + 170 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9996916004100 + 104847442166016 = 3161790^2 + 10239504^2 .

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 80 ways as a sum of consecutive naturals, for example, 201835427080 + ... + 201835427648.

Almost surely, 2^{114844358170116} is an apocalyptic number.

114844358170116 is the 10716546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114844358170116

114844358170116 is an abundant number, since it is smaller than the sum of its proper divisors (187022500209243).

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

114844358170116 is an frugal number, since it uses more digits than its factorization.

114844358170116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 114844358170116 in words is "one hundred fourteen trillion, eight hundred forty-four billion, three hundred fifty-eight million, one hundred seventy thousand, one hundred sixteen".