817937515164 has 192 divisors, whose sum is σ = 2422116974592. Its totient is φ = 208652716800.

The previous prime is 817937515147. The next prime is 817937515223. The reversal of 817937515164 is 461515739718.

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 63 ways as a sum of consecutive naturals, for example, 38485989 + ... + 38507235.

It is an arithmetic number, because the mean of its divisors is an integer number (12615192576).

Almost surely, 2^817937515164 is an apocalyptic number.

817937515164 is a gapful number since it is divisible by the number (84) 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 817937515164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211058487296).

817937515164 is an abundant number, since it is smaller than the sum of its proper divisors (1604179459428).

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

817937515164 is a wasteful number, since it uses less digits than its factorization.

817937515164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22016 (or 22014 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 57.

It can be divided in two parts, 81793 and 7515164, that added together give a palindrome (7596957).

The spelling of 817937515164 in words is "eight hundred seventeen billion, nine hundred thirty-seven million, five hundred fifteen thousand, one hundred sixty-four".