681315958323 has 384 divisors, whose sum is σ = 1380763238400. Its totient is φ = 312483225600.

The previous prime is 681315958291. The next prime is 681315958391. The reversal of 681315958323 is 323859513186.

681315958323 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 1 + 59 + 583 + 2 + 3 = 666.

It is not a de Polignac number, because 681315958323 - 2⁵ = 681315958291 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 681315958323.

It is not an unprimeable number, because it can be changed into a prime (681315956323) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4901553588 + ... + 4901553726.

It is an arithmetic number, because the mean of its divisors is an integer number (3595737600).

Almost surely, 2^681315958323 is an apocalyptic number.

681315958323 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

681315958323 is an abundant number, since it is smaller than the sum of its proper divisors (699447280077).

681315958323 is a wasteful number, since it uses less digits than its factorization.

681315958323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 681315958323 in words is "six hundred eighty-one billion, three hundred fifteen million, nine hundred fifty-eight thousand, three hundred twenty-three".