681481414656 has 288 divisors, whose sum is σ = 2301751932480. Its totient is φ = 190179311616.

The previous prime is 681481414643. The next prime is 681481414661. The reversal of 681481414656 is 656414184186.

681481414656 is a `hidden beast` number, since 6 + 81 + 481 + 41 + 46 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5486616 + ... + 5609448.

It is an arithmetic number, because the mean of its divisors is an integer number (7992194210).

Almost surely, 2^681481414656 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 681481414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150875966240).

681481414656 is an abundant number, since it is smaller than the sum of its proper divisors (1620270517824).

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

681481414656 is a wasteful number, since it uses less digits than its factorization.

681481414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122911 (or 122888 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 681481414656 in words is "six hundred eighty-one billion, four hundred eighty-one million, four hundred fourteen thousand, six hundred fifty-six".