817342791552 has 192 divisors, whose sum is σ = 2707329206400. Its totient is φ = 231846147072.

The previous prime is 817342791523. The next prime is 817342791557. The reversal of 817342791552 is 255197243718.

817342791552 is a `hidden beast` number, since 8 + 17 + 3 + 4 + 2 + 79 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×817342791552² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817342791557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756303 + ... + 1485489.

It is an arithmetic number, because the mean of its divisors is an integer number (14100672950).

Almost surely, 2^817342791552 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 817342791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353664603200).

817342791552 is an abundant number, since it is smaller than the sum of its proper divisors (1889986414848).

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

817342791552 is a wasteful number, since it uses less digits than its factorization.

817342791552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729353 (or 729338 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 817342791552 in words is "eight hundred seventeen billion, three hundred forty-two million, seven hundred ninety-one thousand, five hundred fifty-two".