351436144768 has 64 divisors (see below), whose sum is σ = 713550328920. Its totient is φ = 172350996480.

The previous prime is 351436144751. The next prime is 351436144769. The reversal of 351436144768 is 867441634153.

It can be written as a sum of positive squares in 4 ways, for example, as 319640975424 + 31795169344 = 565368^2 + 178312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (351436144769) 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, 32971696 + ... + 32982352.

Almost surely, 2^351436144768 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 351436144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356775164460).

351436144768 is an abundant number, since it is smaller than the sum of its proper divisors (362114184152).

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

351436144768 is a wasteful number, since it uses less digits than its factorization.

351436144768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15585 (or 15573 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 351436144768 in words is "three hundred fifty-one billion, four hundred thirty-six million, one hundred forty-four thousand, seven hundred sixty-eight".