351996508304000 has 512 divisors, whose sum is σ = 1059786859622400. Its totient is φ = 113575426560000.

The previous prime is 351996508303997. The next prime is 351996508304029. The reversal of 351996508304000 is 403805699153.

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 63 ways as a sum of consecutive naturals, for example, 320780279 + ... + 321875721.

It is an arithmetic number, because the mean of its divisors is an integer number (2069896210200).

Almost surely, 2^{351996508304000} 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 351996508304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529893429811200).

351996508304000 is an abundant number, since it is smaller than the sum of its proper divisors (707790351318400).

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

351996508304000 is a wasteful number, since it uses less digits than its factorization.

351996508304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095649 (or 1095627 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 351996508304000 in words is "three hundred fifty-one trillion, nine hundred ninety-six billion, five hundred eight million, three hundred four thousand".