351568000000 has 616 divisors, whose sum is σ = 1041397919936. Its totient is φ = 116121600000.

The previous prime is 351567999977. The next prime is 351568000009. The reversal of 351568000000 is 865153.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 351568000000 = 3160³ + 6840³ = 5500³ + 5700³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351568000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4815999964 + ... + 4816000036.

Almost surely, 2^351568000000 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 351568000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520698959968).

351568000000 is an abundant number, since it is smaller than the sum of its proper divisors (689829919936).

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

351568000000 is an frugal number, since it uses more digits than its factorization.

351568000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 351568000000 its reverse (865153), we get a palindrome (351568865153).

The spelling of 351568000000 in words is "three hundred fifty-one billion, five hundred sixty-eight million", and thus it is an aban number.