8681094414720 has 1280 divisors, whose sum is σ = 38877051185280. Its totient is φ = 1797004984320.

The previous prime is 8681094414689. The next prime is 8681094414757. The reversal of 8681094414720 is 274144901868.

8681094414720 is a `hidden beast` number, since 8 + 6 + 81 + 0 + 94 + 4 + 1 + 472 + 0 = 666.

It is a super-2 number, since 2×8681094414720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 250006960 + ... + 250041680.

Almost surely, 2^{8681094414720} is an apocalyptic number.

8681094414720 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 8681094414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19438525592640).

8681094414720 is an abundant number, since it is smaller than the sum of its proper divisors (30195956770560).

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

8681094414720 is a wasteful number, since it uses less digits than its factorization.

8681094414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34825 (or 34804 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8681094414720 in words is "eight trillion, six hundred eighty-one billion, ninety-four million, four hundred fourteen thousand, seven hundred twenty".