810341648532 has 288 divisors, whose sum is σ = 2457361749024. Its totient is φ = 222754406400.

The previous prime is 810341648521. The next prime is 810341648621. The reversal of 810341648532 is 235846143018.

810341648532 is a `hidden beast` number, since 8 + 10 + 3 + 41 + 64 + 8 + 532 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 62123568516 + 748218080016 = 249246^2 + 864996^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12035682 + ... + 12102822.

It is an arithmetic number, because the mean of its divisors is an integer number (8532506073).

Almost surely, 2^810341648532 is an apocalyptic number.

810341648532 is a gapful number since it is divisible by the number (82) 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 810341648532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228680874512).

810341648532 is an abundant number, since it is smaller than the sum of its proper divisors (1647020100492).

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

810341648532 is a wasteful number, since it uses less digits than its factorization.

810341648532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67259 (or 67254 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 810341648532 in words is "eight hundred ten billion, three hundred forty-one million, six hundred forty-eight thousand, five hundred thirty-two".