8135440964352 has 432 divisors, whose sum is σ = 25409857636800. Its totient is φ = 2488490754048.

The previous prime is 8135440964333. The next prime is 8135440964389. The reversal of 8135440964352 is 2534690445318.

It is a happy number.

8135440964352 is a `hidden beast` number, since 8 + 1 + 3 + 544 + 0 + 9 + 6 + 43 + 52 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4969724878 + ... + 4969726514.

It is an arithmetic number, because the mean of its divisors is an integer number (58819114900).

Almost surely, 2^{8135440964352} 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 8135440964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704928818400).

8135440964352 is an abundant number, since it is smaller than the sum of its proper divisors (17274416672448).

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

8135440964352 is a wasteful number, since it uses less digits than its factorization.

8135440964352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 8135440964352 in words is "eight trillion, one hundred thirty-five billion, four hundred forty million, nine hundred sixty-four thousand, three hundred fifty-two".