353246681682 has 96 divisors (see below), whose sum is σ = 795514290480. Its totient is φ = 113150607360.

The previous prime is 353246681633. The next prime is 353246681693. The reversal of 353246681682 is 286186642353.

353246681682 is a `hidden beast` number, since 3 + 532 + 46 + 6 + 8 + 1 + 68 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 304051885281 + 49194796401 = 551409^2 + 221799^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208158658 + ... + 208160354.

Almost surely, 2^353246681682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353246681682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397757145240).

353246681682 is an abundant number, since it is smaller than the sum of its proper divisors (442267608798).

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

353246681682 is a wasteful number, since it uses less digits than its factorization.

353246681682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3385 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 353246681682 in words is "three hundred fifty-three billion, two hundred forty-six million, six hundred eighty-one thousand, six hundred eighty-two".