8117650510452 has 864 divisors, whose sum is σ = 27094663814400. Its totient is φ = 2036094713856.

The previous prime is 8117650510439. The next prime is 8117650510477. The reversal of 8117650510452 is 2540150567118.

8117650510452 is a `hidden beast` number, since 8 + 11 + 76 + 5 + 0 + 510 + 4 + 52 = 666.

It is a super-2 number, since 2×8117650510452² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8117650510398 and 8117650510407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14266520824 + ... + 14266521392.

It is an arithmetic number, because the mean of its divisors is an integer number (31359564600).

Almost surely, 2^{8117650510452} 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 8117650510452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547331907200).

8117650510452 is an abundant number, since it is smaller than the sum of its proper divisors (18977013303948).

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

8117650510452 is a wasteful number, since it uses less digits than its factorization.

8117650510452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 8117650510452 in words is "eight trillion, one hundred seventeen billion, six hundred fifty million, five hundred ten thousand, four hundred fifty-two".