351605876688 has 120 divisors (see below), whose sum is σ = 1075125669696. Its totient is φ = 106382246400.

The previous prime is 351605876663. The next prime is 351605876711. The reversal of 351605876688 is 886678506153.

It is a happy number.

351605876688 is a `hidden beast` number, since 3 + 516 + 0 + 58 + 7 + 6 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853308 + ... + 1196388.

Almost surely, 2^351605876688 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 351605876688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537562834848).

351605876688 is an abundant number, since it is smaller than the sum of its proper divisors (723519793008).

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

351605876688 is a wasteful number, since it uses less digits than its factorization.

351605876688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343753 (or 343744 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 351605876688 in words is "three hundred fifty-one billion, six hundred five million, eight hundred seventy-six thousand, six hundred eighty-eight".