8617634838468 has 48 divisors (see below), whose sum is σ = 22357041557760. Its totient is φ = 2870613120672.

The previous prime is 8617634838467. The next prime is 8617634838473. The reversal of 8617634838468 is 8648384367168.

It is a happy number.

8617634838468 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 6 + 3 + 483 + 84 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8617634838396 and 8617634838405.

It is not an unprimeable number, because it can be changed into a prime (8617634838467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26669571 + ... + 26990762.

It is an arithmetic number, because the mean of its divisors is an integer number (465771699120).

Almost surely, 2^{8617634838468} is an apocalyptic number.

It is an amenable number.

8617634838468 is an abundant number, since it is smaller than the sum of its proper divisors (13739406719292).

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

8617634838468 is a wasteful number, since it uses less digits than its factorization.

8617634838468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53661833 (or 53661825 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 8617634838468 in words is "eight trillion, six hundred seventeen billion, six hundred thirty-four million, eight hundred thirty-eight thousand, four hundred sixty-eight".