34561415617 has 2 divisors, whose sum is σ = 34561415618. Its totient is φ = 34561415616.

The previous prime is 34561415561. The next prime is 34561415639. The reversal of 34561415617 is 71651416543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31320504576 + 3240911041 = 176976^2 + 56929^2 .

It is a cyclic number.

It is not a de Polignac number, because 34561415617 - 2²³ = 34553027009 is a prime.

It is a super-2 number, since 2×34561415617² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34561415677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17280707808 + 17280707809.

It is an arithmetic number, because the mean of its divisors is an integer number (17280707809).

Almost surely, 2^34561415617 is an apocalyptic number.

It is an amenable number.

34561415617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34561415617 is an equidigital number, since it uses as much as digits as its factorization.

34561415617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 302400, while the sum is 43.

The spelling of 34561415617 in words is "thirty-four billion, five hundred sixty-one million, four hundred fifteen thousand, six hundred seventeen".