115005605616001 has 2 divisors, whose sum is σ = 115005605616002. Its totient is φ = 115005605616000.

The previous prime is 115005605615933. The next prime is 115005605616073. The reversal of 115005605616001 is 100616506500511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58062342618225 + 56943262997776 = 7619865^2 + 7546076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-115005605616001 is a prime.

It is not a weakly prime, because it can be changed into another prime (115005605616101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57502802808000 + 57502802808001.

It is an arithmetic number, because the mean of its divisors is an integer number (57502802808001).

Almost surely, 2^{115005605616001} is an apocalyptic number.

It is an amenable number.

115005605616001 is a deficient number, since it is larger than the sum of its proper divisors (1).

115005605616001 is an equidigital number, since it uses as much as digits as its factorization.

115005605616001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 115005605616001 in words is "one hundred fifteen trillion, five billion, six hundred five million, six hundred sixteen thousand, one".