686707738472448 has 2080 divisors, whose sum is σ = 2618903056704000. Its totient is φ = 174093961789440.

The previous prime is 686707738472411. The next prime is 686707738472449. The reversal of 686707738472448 is 844274837707686.

686707738472448 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 0 + 77 + 38 + 4 + 72 + 448 = 666.

It is a super-2 number, since 2×686707738472448² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686707738472449) 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 159 ways as a sum of consecutive naturals, for example, 487372418368 + ... + 487372419776.

Almost surely, 2^{686707738472448} 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 686707738472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309451528352000).

686707738472448 is an abundant number, since it is smaller than the sum of its proper divisors (1932195318231552).

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

686707738472448 is an equidigital number, since it uses as much as digits as its factorization.

686707738472448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 16994009088, while the sum is 81.

The spelling of 686707738472448 in words is "six hundred eighty-six trillion, seven hundred seven billion, seven hundred thirty-eight million, four hundred seventy-two thousand, four hundred forty-eight".