351645769216 has 320 divisors, whose sum is σ = 900488793600. Its totient is φ = 133545590784.

The previous prime is 351645769177. The next prime is 351645769229. The reversal of 351645769216 is 612967546153.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207215280 + ... + 207216976.

It is an arithmetic number, because the mean of its divisors is an integer number (2814027480).

Almost surely, 2^351645769216 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 351645769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450244396800).

351645769216 is an abundant number, since it is smaller than the sum of its proper divisors (548843024384).

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

351645769216 is a wasteful number, since it uses less digits than its factorization.

351645769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1921 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The spelling of 351645769216 in words is "three hundred fifty-one billion, six hundred forty-five million, seven hundred sixty-nine thousand, two hundred sixteen".