351405447316 has 96 divisors (see below), whose sum is σ = 777543137280. Its totient is φ = 134987126400.

The previous prime is 351405447311. The next prime is 351405447319. The reversal of 351405447316 is 613744504153.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351405447311) 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, 7240611 + ... + 7288981.

It is an arithmetic number, because the mean of its divisors is an integer number (8099407680).

Almost surely, 2^351405447316 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 351405447316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388771568640).

351405447316 is an abundant number, since it is smaller than the sum of its proper divisors (426137689964).

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

351405447316 is a wasteful number, since it uses less digits than its factorization.

351405447316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48725 (or 48723 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 351405447316 in words is "three hundred fifty-one billion, four hundred five million, four hundred forty-seven thousand, three hundred sixteen".