817208749056 has 176 divisors, whose sum is σ = 2490265568000. Its totient is φ = 233399992320.

The previous prime is 817208749031. The next prime is 817208749111. The reversal of 817208749056 is 650947802718.

817208749056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×817208749056³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 817208748987 and 817208749005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75237066 + ... + 75247926.

Almost surely, 2^817208749056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817208749056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245132784000).

817208749056 is an abundant number, since it is smaller than the sum of its proper divisors (1673056818944).

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

817208749056 is a wasteful number, since it uses less digits than its factorization.

817208749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14390 (or 14372 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 817208749056 in words is "eight hundred seventeen billion, two hundred eight million, seven hundred forty-nine thousand, fifty-six".