8681923222272 has 864 divisors, whose sum is σ = 29369287584000. Its totient is φ = 2541478477824.

The previous prime is 8681923222243. The next prime is 8681923222279. The reversal of 8681923222272 is 2722223291868.

8681923222272 is a `hidden beast` number, since 8 + 6 + 8 + 1 + 92 + 322 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (8681923222279) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1346240104 + ... + 1346246552.

It is an arithmetic number, because the mean of its divisors is an integer number (33992231000).

Almost surely, 2^{8681923222272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8681923222272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684643792000).

8681923222272 is an abundant number, since it is smaller than the sum of its proper divisors (20687364361728).

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

8681923222272 is a wasteful number, since it uses less digits than its factorization.

8681923222272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583 (or 6557 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 8681923222272 in words is "eight trillion, six hundred eighty-one billion, nine hundred twenty-three million, two hundred twenty-two thousand, two hundred seventy-two".