8953856604 has 288 divisors, whose sum is σ = 30141296640. Its totient is φ = 2172441600.

The previous prime is 8953856581. The next prime is 8953856629. The reversal of 8953856604 is 4066583598.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 2490232 + ... + 2493824.

It is an arithmetic number, because the mean of its divisors is an integer number (104657280).

Almost surely, 2^8953856604 is an apocalyptic number.

8953856604 is a gapful number since it is divisible by the number (84) 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 8953856604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15070648320).

8953856604 is an abundant number, since it is smaller than the sum of its proper divisors (21187440036).

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

8953856604 is a wasteful number, since it uses less digits than its factorization.

8953856604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 8953856604 is about 94624.8202323259. The cubic root of 8953856604 is about 2076.5228365606.

The spelling of 8953856604 in words is "eight billion, nine hundred fifty-three million, eight hundred fifty-six thousand, six hundred four".