8853516672 has 512 divisors, whose sum is σ = 32637911040. Its totient is φ = 2051481600.

The previous prime is 8853516667. The next prime is 8853516677. The reversal of 8853516672 is 2766153588.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8853516667) and next prime (8853516677).

It is a super-2 number, since 2×8853516672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8853516677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11915533 + ... + 11916275.

It is an arithmetic number, because the mean of its divisors is an integer number (63745920).

Almost surely, 2^8853516672 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 8853516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318955520).

8853516672 is an abundant number, since it is smaller than the sum of its proper divisors (23784394368).

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

8853516672 is a wasteful number, since it uses less digits than its factorization.

8853516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 8853516672 is about 94093.1276555307. The cubic root of 8853516672 is about 2068.7369419048.

It can be divided in two parts, 8853 and 516672, that added together give a palindrome (525525).

The spelling of 8853516672 in words is "eight billion, eight hundred fifty-three million, five hundred sixteen thousand, six hundred seventy-two".