116435516099841 has 81 divisors (see below), whose sum is σ = 179845539650569. Its totient is φ = 72575889514752.

The previous prime is 116435516099831. The next prime is 116435516099843. The reversal of 116435516099841 is 148990615534611.

The square root of 116435516099841 is 10790529.

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

116435516099841 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 35 + 516 + 0 + 9 + 9 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57070032089841 + 59365484010000 = 7554471^2 + 7704900^2 .

It is not a de Polignac number, because 116435516099841 - 2¹¹ = 116435516097793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116435516099843) 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, 95204836756 + ... + 95204837978.

Almost surely, 2^{116435516099841} is an apocalyptic number.

116435516099841 is the 10790529-th square number.

116435516099841 is the 5395265-th centered octagonal number.

It is an amenable number.

116435516099841 is a deficient number, since it is larger than the sum of its proper divisors (63410023550728).

116435516099841 is an frugal number, since it uses more digits than its factorization.

116435516099841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 116435516099841 in words is "one hundred sixteen trillion, four hundred thirty-five billion, five hundred sixteen million, ninety-nine thousand, eight hundred forty-one".