8623685468160 has 512 divisors, whose sum is σ = 35041868582400. Its totient is φ = 1971121029120.

The previous prime is 8623685468147. The next prime is 8623685468179. The reversal of 8623685468160 is 618645863268.

It is a happy number.

8623685468160 is a `hidden beast` number, since 8 + 6 + 2 + 3 + 6 + 8 + 5 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30826515 + ... + 31105005.

It is an arithmetic number, because the mean of its divisors is an integer number (68441149575).

Almost surely, 2^{8623685468160} is an apocalyptic number.

8623685468160 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 8623685468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520934291200).

8623685468160 is an abundant number, since it is smaller than the sum of its proper divisors (26418183114240).

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

8623685468160 is an equidigital number, since it uses as much as digits as its factorization.

8623685468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278542 (or 278508 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 8623685468160 in words is "eight trillion, six hundred twenty-three billion, six hundred eighty-five million, four hundred sixty-eight thousand, one hundred sixty".