8618778168 has 384 divisors, whose sum is σ = 30033400320. Its totient is φ = 2025354240.

The previous prime is 8618778139. The next prime is 8618778169.

8618778168 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8618778169) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8912421 + ... + 8913387.

It is an arithmetic number, because the mean of its divisors is an integer number (78211980).

Almost surely, 2^8618778168 is an apocalyptic number.

8618778168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8618778168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016700160).

8618778168 is an abundant number, since it is smaller than the sum of its proper divisors (21414622152).

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

8618778168 is a wasteful number, since it uses less digits than its factorization.

8618778168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 60.

The square root of 8618778168 is about 92837.3748444020. The cubic root of 8618778168 is about 2050.2897205439.

It can be divided in two parts, 8618778 and 168, that multiplied together give a square (1447954704 = 38052²).

The spelling of 8618778168 in words is "eight billion, six hundred eighteen million, seven hundred seventy-eight thousand, one hundred sixty-eight".