340954581617009 has 2 divisors, whose sum is σ = 340954581617010. Its totient is φ = 340954581617008.

The previous prime is 340954581616949. The next prime is 340954581617029. The reversal of 340954581617009 is 900716185459043.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193085698398784 + 147868883218225 = 13895528^2 + 12160135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-340954581617009 is a prime.

It is a super-3 number, since 3×340954581617009³ (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (340954581617029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 170477290808504 + 170477290808505.

It is an arithmetic number, because the mean of its divisors is an integer number (170477290808505).

Almost surely, 2^{340954581617009} is an apocalyptic number.

It is an amenable number.

340954581617009 is a deficient number, since it is larger than the sum of its proper divisors (1).

340954581617009 is an equidigital number, since it uses as much as digits as its factorization.

340954581617009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 340954581617009 in words is "three hundred forty trillion, nine hundred fifty-four billion, five hundred eighty-one million, six hundred seventeen thousand, nine".