617217011408 has 80 divisors (see below), whose sum is σ = 1277716770000. Its totient is φ = 287823863808.

The previous prime is 617217011399. The next prime is 617217011423. The reversal of 617217011408 is 804110712716.

It can be written as a sum of positive squares in 8 ways, for example, as 2579827264 + 614637184144 = 50792^2 + 783988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15909218 + ... + 15947966.

It is an arithmetic number, because the mean of its divisors is an integer number (15971459625).

Almost surely, 2^617217011408 is an apocalyptic number.

617217011408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617217011408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638858385000).

617217011408 is an abundant number, since it is smaller than the sum of its proper divisors (660499758592).

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

617217011408 is a wasteful number, since it uses less digits than its factorization.

617217011408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39304 (or 39298 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 38.

The spelling of 617217011408 in words is "six hundred seventeen billion, two hundred seventeen million, eleven thousand, four hundred eight".