351664345472 has 64 divisors (see below), whose sum is σ = 764734098240. Its totient is φ = 159750474240.

The previous prime is 351664345471. The next prime is 351664345481. The reversal of 351664345472 is 274543466153.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 351664345472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351664345471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272223 + ... + 2422049.

It is an arithmetic number, because the mean of its divisors is an integer number (11948970285).

Almost surely, 2^351664345472 is an apocalyptic number.

351664345472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351664345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382367049120).

351664345472 is an abundant number, since it is smaller than the sum of its proper divisors (413069752768).

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

351664345472 is a wasteful number, since it uses less digits than its factorization.

351664345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151519 (or 151507 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 50.

The spelling of 351664345472 in words is "three hundred fifty-one billion, six hundred sixty-four million, three hundred forty-five thousand, four hundred seventy-two".