681948849186 has 384 divisors, whose sum is σ = 1774700928000. Its totient is φ = 187012800000.

The previous prime is 681948849133. The next prime is 681948849227.

681948849186 is a `hidden beast` number, since 6 + 8 + 19 + 48 + 8 + 491 + 86 = 666.

681948849186 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×681948849186² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2716927561 + ... + 2716927811.

It is an arithmetic number, because the mean of its divisors is an integer number (4621617000).

Almost surely, 2^681948849186 is an apocalyptic number.

681948849186 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 681948849186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887350464000).

681948849186 is an abundant number, since it is smaller than the sum of its proper divisors (1092752078814).

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

681948849186 is a wasteful number, since it uses less digits than its factorization.

681948849186 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 681948849186 in words is "six hundred eighty-one billion, nine hundred forty-eight million, eight hundred forty-nine thousand, one hundred eighty-six".