11616233006241 has 64 divisors (see below), whose sum is σ = 18903811276800. Its totient is φ = 7017134053248.

The previous prime is 11616233006237. The next prime is 11616233006303. The reversal of 11616233006241 is 14260033261611.

11616233006241 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 6 + 23 + 3 + 0 + 0 + 624 + 1 = 666.

It is not a de Polignac number, because 11616233006241 - 2² = 11616233006237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11616233006196 and 11616233006205.

It is not an unprimeable number, because it can be changed into a prime (11616233006641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315923440 + ... + 315960206.

It is an arithmetic number, because the mean of its divisors is an integer number (295372051200).

Almost surely, 2^{11616233006241} is an apocalyptic number.

It is an amenable number.

11616233006241 is a deficient number, since it is larger than the sum of its proper divisors (7287578270559).

11616233006241 is a wasteful number, since it uses less digits than its factorization.

11616233006241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63595 (or 63589 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 11616233006241 its reverse (14260033261611), we get a palindrome (25876266267852).

The spelling of 11616233006241 in words is "eleven trillion, six hundred sixteen billion, two hundred thirty-three million, six thousand, two hundred forty-one".