681055252416 has 1008 divisors, whose sum is σ = 2595365660160. Its totient is φ = 175088148480.

The previous prime is 681055252403. The next prime is 681055252483. The reversal of 681055252416 is 614252550186.

681055252416 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 552 + 52 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 947225305 + ... + 947226023.

It is an arithmetic number, because the mean of its divisors is an integer number (2574767520).

Almost surely, 2^681055252416 is an apocalyptic number.

681055252416 is a gapful number since it is divisible by the number (66) 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 681055252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297682830080).

681055252416 is an abundant number, since it is smaller than the sum of its proper divisors (1914310407744).

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

681055252416 is a wasteful number, since it uses less digits than its factorization.

681055252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 681055252416 in words is "six hundred eighty-one billion, fifty-five million, two hundred fifty-two thousand, four hundred sixteen".