351667013568 has 112 divisors (see below), whose sum is σ = 1007113393440. Its totient is φ = 107655819264.

The previous prime is 351667013531. The next prime is 351667013617. The reversal of 351667013568 is 865310766153.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 351667013568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134118 + ... + 849306.

It is an arithmetic number, because the mean of its divisors is an integer number (8992083870).

Almost surely, 2^351667013568 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 351667013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503556696720).

351667013568 is an abundant number, since it is smaller than the sum of its proper divisors (655446379872).

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

351667013568 is a wasteful number, since it uses less digits than its factorization.

351667013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715414 (or 715404 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 351667013568 in words is "three hundred fifty-one billion, six hundred sixty-seven million, thirteen thousand, five hundred sixty-eight".