8985696616000 has 112 divisors (see below), whose sum is σ = 23964853152240. Its totient is φ = 3317795635200.

The previous prime is 8985696615881. The next prime is 8985696616003. The reversal of 8985696616000 is 6166965898.

It can be written as a sum of positive squares in 8 ways, for example, as 2466131033664 + 6519565582336 = 1570392^2 + 2553344^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (8985696616003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43096465 + ... + 43304464.

It is an arithmetic number, because the mean of its divisors is an integer number (213971903145).

Almost surely, 2^{8985696616000} is an apocalyptic number.

8985696616000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8985696616000 is an abundant number, since it is smaller than the sum of its proper divisors (14979156536240).

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

8985696616000 is a wasteful number, since it uses less digits than its factorization.

8985696616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86400969 (or 86400949 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 64.

The spelling of 8985696616000 in words is "eight trillion, nine hundred eighty-five billion, six hundred ninety-six million, six hundred sixteen thousand".