8812415664 has 240 divisors, whose sum is σ = 28548610272. Its totient is φ = 2513313792.

The previous prime is 8812415653. The next prime is 8812415671. The reversal of 8812415664 is 4665142188.

It is a happy number.

8812415664 is a `hidden beast` number, since 8 + 81 + 2 + 4 + 1 + 566 + 4 = 666.

It is a super-2 number, since 2×8812415664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2130142 + ... + 2134274.

Almost surely, 2^8812415664 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 8812415664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274305136).

8812415664 is an abundant number, since it is smaller than the sum of its proper divisors (19736194608).

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

8812415664 is a wasteful number, since it uses less digits than its factorization.

8812415664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4235 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 8812415664 is about 93874.4675830441. The cubic root of 8812415664 is about 2065.5307173020.

The spelling of 8812415664 in words is "eight billion, eight hundred twelve million, four hundred fifteen thousand, six hundred sixty-four".