617548380345 has 128 divisors (see below), whose sum is σ = 1222498529280. Its totient is φ = 293723781120.

The previous prime is 617548380343. The next prime is 617548380353. The reversal of 617548380345 is 543083845716.

617548380345 is a `hidden beast` number, since 6 + 17 + 548 + 3 + 80 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 617548380345 - 2¹ = 617548380343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 617548380291 and 617548380300.

It is not an unprimeable number, because it can be changed into a prime (617548380343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33558687 + ... + 33577083.

It is an arithmetic number, because the mean of its divisors is an integer number (9550769760).

Almost surely, 2^617548380345 is an apocalyptic number.

617548380345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

617548380345 is a deficient number, since it is larger than the sum of its proper divisors (604950148935).

617548380345 is a wasteful number, since it uses less digits than its factorization.

617548380345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19072 (or 19066 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 617548380345 in words is "six hundred seventeen billion, five hundred forty-eight million, three hundred eighty thousand, three hundred forty-five".