8861578656 has 288 divisors, whose sum is σ = 28380506112. Its totient is φ = 2410974720.

The previous prime is 8861578651. The next prime is 8861578673. The reversal of 8861578656 is 6568751688.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8861578656.

It is not an unprimeable number, because it can be changed into a prime (8861578651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9769755 + ... + 9770661.

It is an arithmetic number, because the mean of its divisors is an integer number (98543424).

Almost surely, 2^8861578656 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 8861578656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14190253056).

8861578656 is an abundant number, since it is smaller than the sum of its proper divisors (19518927456).

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

8861578656 is a wasteful number, since it uses less digits than its factorization.

8861578656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1017 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 60.

The square root of 8861578656 is about 94135.9583581110. The cubic root of 8861578656 is about 2069.3646798217.

The spelling of 8861578656 in words is "eight billion, eight hundred sixty-one million, five hundred seventy-eight thousand, six hundred fifty-six".