2116402117609 has 8 divisors (see below), whose sum is σ = 2279363291912. Its totient is φ = 1953463944960.

The previous prime is 2116402117597. The next prime is 2116402117667. The reversal of 2116402117609 is 9067112046112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 425270928384 + 1691131189225 = 652128^2 + 1300435^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2116402117609 - 2¹¹ = 2116402115561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2116402117699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5559072 + ... + 5927569.

It is an arithmetic number, because the mean of its divisors is an integer number (284920411489).

Almost surely, 2^{2116402117609} is an apocalyptic number.

It is an amenable number.

2116402117609 is a deficient number, since it is larger than the sum of its proper divisors (162961174303).

2116402117609 is a wasteful number, since it uses less digits than its factorization.

2116402117609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500827.

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 2116402117609 in words is "two trillion, one hundred sixteen billion, four hundred two million, one hundred seventeen thousand, six hundred nine".