8946406656 has 216 divisors, whose sum is σ = 28485396576. Its totient is φ = 2677739520.

The previous prime is 8946406607. The next prime is 8946406661. The reversal of 8946406656 is 6566046498.

It is a super-2 number, since 2×8946406656² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101426 + ... + 2105678.

It is an arithmetic number, because the mean of its divisors is an integer number (131876836).

Almost surely, 2^8946406656 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 8946406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242698288).

8946406656 is an abundant number, since it is smaller than the sum of its proper divisors (19538989920).

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

8946406656 is a wasteful number, since it uses less digits than its factorization.

8946406656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4369 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 8946406656 is about 94585.4463223598. The cubic root of 8946406656 is about 2075.9467615291.

The spelling of 8946406656 in words is "eight billion, nine hundred forty-six million, four hundred six thousand, six hundred fifty-six".