8681366693952 has 1792 divisors, whose sum is σ = 30202026301440. Its totient is φ = 2459495301120.

The previous prime is 8681366693933. The next prime is 8681366693959. The reversal of 8681366693952 is 2593966631868.

It is a super-2 number, since 2×8681366693952² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (604661760) is a multiple of the sum of its prime factors (240).

It is not an unprimeable number, because it can be changed into a prime (8681366693959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 118922831388 + ... + 118922831460.

It is an arithmetic number, because the mean of its divisors is an integer number (16853809320).

Almost surely, 2^{8681366693952} is an apocalyptic number.

8681366693952 is a gapful number since it is divisible by the number (82) 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 8681366693952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101013150720).

8681366693952 is an abundant number, since it is smaller than the sum of its proper divisors (21520659607488).

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

8681366693952 is a wasteful number, since it uses less digits than its factorization.

8681366693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 8681366693952 in words is "eight trillion, six hundred eighty-one billion, three hundred sixty-six million, six hundred ninety-three thousand, nine hundred fifty-two".