617129806368 has 48 divisors (see below), whose sum is σ = 1620377166240. Its totient is φ = 205657691136.

The previous prime is 617129806361. The next prime is 617129806417. The reversal of 617129806368 is 863608921716.

617129806368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (617129806361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435433 + ... + 1193256.

It is an arithmetic number, because the mean of its divisors is an integer number (33757857630).

Almost surely, 2^617129806368 is an apocalyptic number.

It is an amenable number.

617129806368 is an abundant number, since it is smaller than the sum of its proper divisors (1003247359872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

617129806368 is a wasteful number, since it uses less digits than its factorization.

617129806368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632649 (or 1632641 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 617129806368 in words is "six hundred seventeen billion, one hundred twenty-nine million, eight hundred six thousand, three hundred sixty-eight".