8882685504 has 945 divisors, whose sum is σ = 35764648689. Its totient is φ = 2171473920.

The previous prime is 8882685433. The next prime is 8882685509. The reversal of 8882685504 is 4055862888.

It is a happy number.

The square root of 8882685504 is 94248.

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

8882685504 is a `hidden beast` number, since 8 + 8 + 82 + 6 + 8 + 550 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6915585600 + 1967099904 = 83160^2 + 44352^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8882685509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 522510904 + ... + 522510920.

Almost surely, 2^8882685504 is an apocalyptic number.

8882685504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8882685504 is the 94248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8882685504

8882685504 is an abundant number, since it is smaller than the sum of its proper divisors (26881963185).

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

8882685504 is a wasteful number, since it uses less digits than its factorization.

8882685504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The cubic root of 8882685504 is about 2071.0063411806.

The spelling of 8882685504 in words is "eight billion, eight hundred eighty-two million, six hundred eighty-five thousand, five hundred four".