817849714728 has 256 divisors, whose sum is σ = 2154993984000. Its totient is φ = 258412032000.

The previous prime is 817849714711. The next prime is 817849714741. The reversal of 817849714728 is 827417948718.

It is a super-2 number, since 2×817849714728² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2629741693 + ... + 2629742003.

It is an arithmetic number, because the mean of its divisors is an integer number (8417945250).

Almost surely, 2^817849714728 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 817849714728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077496992000).

817849714728 is an abundant number, since it is smaller than the sum of its proper divisors (1337144269272).

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

817849714728 is a wasteful number, since it uses less digits than its factorization.

817849714728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 66.

The spelling of 817849714728 in words is "eight hundred seventeen billion, eight hundred forty-nine million, seven hundred fourteen thousand, seven hundred twenty-eight".