351991122912 has 768 divisors, whose sum is σ = 1288369152000. Its totient is φ = 91968307200.

The previous prime is 351991122877. The next prime is 351991122937. The reversal of 351991122912 is 219221199153.

It is a happy number.

351991122912 is a `hidden beast` number, since 3 + 519 + 9 + 1 + 122 + 9 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 111071664 + ... + 111074832.

It is an arithmetic number, because the mean of its divisors is an integer number (1677564000).

Almost surely, 2^351991122912 is an apocalyptic number.

351991122912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351991122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644184576000).

351991122912 is an abundant number, since it is smaller than the sum of its proper divisors (936378029088).

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

351991122912 is a wasteful number, since it uses less digits than its factorization.

351991122912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3258 counting only the distinct ones).

The product of its digits is 87480, while the sum is 45.

The spelling of 351991122912 in words is "three hundred fifty-one billion, nine hundred ninety-one million, one hundred twenty-two thousand, nine hundred twelve".