682051249152 has 1188 divisors, whose sum is σ = 2580377553936. Its totient is φ = 179338199040.

The previous prime is 682051249123. The next prime is 682051249153. The reversal of 682051249152 is 251942150286.

682051249152 is a `hidden beast` number, since 6 + 82 + 0 + 512 + 4 + 9 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 682051249098 and 682051249107.

It is not an unprimeable number, because it can be changed into a prime (682051249153) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2060577627 + ... + 2060577957.

Almost surely, 2^682051249152 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 682051249152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290188776968).

682051249152 is an abundant number, since it is smaller than the sum of its proper divisors (1898326304784).

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

682051249152 is a wasteful number, since it uses less digits than its factorization.

682051249152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 682051249152 in words is "six hundred eighty-two billion, fifty-one million, two hundred forty-nine thousand, one hundred fifty-two".