351991205664 has 192 divisors, whose sum is σ = 1060718561280. Its totient is φ = 100118108160.

The previous prime is 351991205653. The next prime is 351991205711. The reversal of 351991205664 is 466502199153.

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, 229908579 + ... + 229910109.

It is an arithmetic number, because the mean of its divisors is an integer number (5524575840).

Almost surely, 2^351991205664 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 351991205664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530359280640).

351991205664 is an abundant number, since it is smaller than the sum of its proper divisors (708727355616).

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

351991205664 is a wasteful number, since it uses less digits than its factorization.

351991205664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 351991205664 in words is "three hundred fifty-one billion, nine hundred ninety-one million, two hundred five thousand, six hundred sixty-four".