116434437049441 has 9 divisors (see below), whose sum is σ = 135444228922899. Its totient is φ = 99800881299504.

The previous prime is 116434437049417. The next prime is 116434437049493. The reversal of 116434437049441 is 144940734434611.

The square root of 116434437049441 is 10790479.

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

It can be written as a sum of positive squares in only one way, i.e., 52946942896225 + 63487494153216 = 7276465^2 + 7967904^2 .

It is not a de Polignac number, because 116434437049441 - 2¹⁹ = 116434436525153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116434437049841) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 74762605 + ... + 76304101.

It is an arithmetic number, because the mean of its divisors is an integer number (15049358769211).

Almost surely, 2^{116434437049441} is an apocalyptic number.

116434437049441 is the 10790479-th square number.

116434437049441 is the 5395240-th centered octagonal number.

It is an amenable number.

116434437049441 is a deficient number, since it is larger than the sum of its proper divisors (19009791873458).

116434437049441 is an frugal number, since it uses more digits than its factorization.

116434437049441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083008 (or 1541504 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 55.

The spelling of 116434437049441 in words is "one hundred sixteen trillion, four hundred thirty-four billion, four hundred thirty-seven million, forty-nine thousand, four hundred forty-one".