8985461084160 has 1248 divisors, whose sum is σ = 32984543133696. Its totient is φ = 2084614963200.

The previous prime is 8985461084147. The next prime is 8985461084177. The reversal of 8985461084160 is 614801645898.

It is a happy number.

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 Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8985461084094 and 8985461084103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29268602727 + ... + 29268603033.

Almost surely, 2^{8985461084160} is an apocalyptic number.

8985461084160 is a gapful number since it is divisible by the number (80) 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 8985461084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492271566848).

8985461084160 is an abundant number, since it is smaller than the sum of its proper divisors (23999082049536).

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

8985461084160 is a wasteful number, since it uses less digits than its factorization.

8985461084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 8985461084160 in words is "eight trillion, nine hundred eighty-five billion, four hundred sixty-one million, eighty-four thousand, one hundred sixty".