817953356406208 has 56 divisors (see below), whose sum is σ = 1770706597572864. Its totient is φ = 371792050118400.

The previous prime is 817953356406191. The next prime is 817953356406227. The reversal of 817953356406208 is 802604653359718.

817953356406208 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-2 number, since 2×817953356406208² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45688713 + ... + 61019383.

It is an arithmetic number, because the mean of its divisors is an integer number (31619760670944).

It is a 2-persistent number, because it is pandigital, and so is 2⋅817953356406208 = 1635906712812416, but 3⋅817953356406208 = 2453860069218624 is not.

Almost surely, 2^{817953356406208} is an apocalyptic number.

817953356406208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

817953356406208 is an abundant number, since it is smaller than the sum of its proper divisors (952753241166656).

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

817953356406208 is a wasteful number, since it uses less digits than its factorization.

817953356406208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406481 (or 15406471 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 817953356406208 in words is "eight hundred seventeen trillion, nine hundred fifty-three billion, three hundred fifty-six million, four hundred six thousand, two hundred eight".