686190016512 has 2304 divisors, whose sum is σ = 2927957760000. Its totient is φ = 157367992320.

The previous prime is 686190016493. The next prime is 686190016529. The reversal of 686190016512 is 215610091686.

686190016512 is a `hidden beast` number, since 6 + 8 + 619 + 0 + 0 + 16 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×686190016512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 29834348533 + ... + 29834348555.

It is an arithmetic number, because the mean of its divisors is an integer number (1270815000).

Almost surely, 2^686190016512 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 686190016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880000).

686190016512 is an abundant number, since it is smaller than the sum of its proper divisors (2241767743488).

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

686190016512 is a wasteful number, since it uses less digits than its factorization.

686190016512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 686190016512 in words is "six hundred eighty-six billion, one hundred ninety million, sixteen thousand, five hundred twelve".