351161713140 has 192 divisors, whose sum is σ = 1141839175680. Its totient is φ = 78981396480.

The previous prime is 351161713061. The next prime is 351161713249. The reversal of 351161713140 is 41317161153.

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 63 ways as a sum of consecutive naturals, for example, 6570325 + ... + 6623555.

It is an arithmetic number, because the mean of its divisors is an integer number (5947079040).

Almost surely, 2^351161713140 is an apocalyptic number.

351161713140 is a gapful number since it is divisible by the number (30) 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 351161713140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570919587840).

351161713140 is an abundant number, since it is smaller than the sum of its proper divisors (790677462540).

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

351161713140 is a wasteful number, since it uses less digits than its factorization.

351161713140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53502 (or 53500 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 351161713140 its reverse (41317161153), we get a palindrome (392478874293).

The spelling of 351161713140 in words is "three hundred fifty-one billion, one hundred sixty-one million, seven hundred thirteen thousand, one hundred forty".