686456041152 has 224 divisors, whose sum is σ = 2131763397120. Its totient is φ = 190858567680.

The previous prime is 686456041129. The next prime is 686456041157. The reversal of 686456041152 is 251140654686.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (686456041157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21860599 + ... + 21891977.

It is an arithmetic number, because the mean of its divisors is an integer number (9516800880).

Almost surely, 2^686456041152 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 686456041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065881698560).

686456041152 is an abundant number, since it is smaller than the sum of its proper divisors (1445307355968).

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

686456041152 is a wasteful number, since it uses less digits than its factorization.

686456041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31839 (or 31829 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 686456041152 in words is "six hundred eighty-six billion, four hundred fifty-six million, forty-one thousand, one hundred fifty-two".