8115182848656 has 315 divisors, whose sum is σ = 25539426215019. Its totient is φ = 2495748692736.

The previous prime is 8115182848603. The next prime is 8115182848709. The reversal of 8115182848656 is 6568482815118.

The square root of 8115182848656 is 2848716.

It is a perfect power (a square), and thus also a powerful number.

8115182848656 is a `hidden beast` number, since 8 + 1 + 1 + 518 + 28 + 48 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (8115182848603) and next prime (8115182848709).

It can be written as a sum of positive squares in 4 ways, for example, as 736266963600 + 7378915885056 = 858060^2 + 2716416^2 .

It is a super-2 number, since 2×8115182848656² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8115182848593 and 8115182848602.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3999596250 + ... + 3999598278.

Almost surely, 2^{8115182848656} is an apocalyptic number.

8115182848656 is the 2848716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8115182848656

8115182848656 is an abundant number, since it is smaller than the sum of its proper divisors (17424243366363).

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

8115182848656 is an frugal number, since it uses more digits than its factorization.

8115182848656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2047 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 63.

The spelling of 8115182848656 in words is "eight trillion, one hundred fifteen billion, one hundred eighty-two million, eight hundred forty-eight thousand, six hundred fifty-six".