617000945096249 has 16 divisors (see below), whose sum is σ = 735815291554560. Its totient is φ = 505855244854080.

The previous prime is 617000945096243. The next prime is 617000945096279. The reversal of 617000945096249 is 942690549000716.

It is a cyclic number.

It is not a de Polignac number, because 617000945096249 - 2²⁰ = 617000944047673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 617000945096191 and 617000945096200.

It is not an unprimeable number, because it can be changed into a prime (617000945096243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24447962 + ... + 42798419.

It is an arithmetic number, because the mean of its divisors is an integer number (45988455722160).

Almost surely, 2^{617000945096249} is an apocalyptic number.

It is an amenable number.

617000945096249 is a deficient number, since it is larger than the sum of its proper divisors (118814346458311).

617000945096249 is a wasteful number, since it uses less digits than its factorization.

617000945096249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67303400.

The product of its (nonzero) digits is 29393280, while the sum is 62.

The spelling of 617000945096249 in words is "six hundred seventeen trillion, nine hundred forty-five million, ninety-six thousand, two hundred forty-nine".