351312302000000 has 896 divisors, whose sum is σ = 975936257856000. Its totient is φ = 124881536000000.

The previous prime is 351312301999999. The next prime is 351312302000017. The reversal of 351312302000000 is 203213153.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 586497999701 + ... + 586498000299.

It is an arithmetic number, because the mean of its divisors is an integer number (1089214573500).

Almost surely, 2^{351312302000000} 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 351312302000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487968128928000).

351312302000000 is an abundant number, since it is smaller than the sum of its proper divisors (624623955856000).

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

351312302000000 is an frugal number, since it uses more digits than its factorization.

351312302000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 351312302000000 its reverse (203213153), we get a palindrome (351312505213153).

The spelling of 351312302000000 in words is "three hundred fifty-one trillion, three hundred twelve billion, three hundred two million", and thus it is an aban number.