351315162704 has 160 divisors (see below), whose sum is σ = 777961635840. Its totient is φ = 152237030400.

The previous prime is 351315162701. The next prime is 351315162707. The reversal of 351315162704 is 407261513153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (351315162701) and next prime (351315162707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351315162701) 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 31 ways as a sum of consecutive naturals, for example, 320250284 + ... + 320251380.

It is an arithmetic number, because the mean of its divisors is an integer number (4862260224).

Almost surely, 2^351315162704 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 351315162704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388980817920).

351315162704 is an abundant number, since it is smaller than the sum of its proper divisors (426646473136).

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

351315162704 is a wasteful number, since it uses less digits than its factorization.

351315162704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

Adding to 351315162704 its reverse (407261513153), we get a palindrome (758576675857).

The spelling of 351315162704 in words is "three hundred fifty-one billion, three hundred fifteen million, one hundred sixty-two thousand, seven hundred four".