341123631561600 has 384 divisors, whose sum is σ = 1130494259450880. Its totient is φ = 90406581657600.

The previous prime is 341123631561577. The next prime is 341123631561611. The reversal of 341123631561600 is 6165136321143.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4595396485 + ... + 4595470715.

It is an arithmetic number, because the mean of its divisors is an integer number (2943995467320).

Almost surely, 2^{341123631561600} is an apocalyptic number.

341123631561600 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 341123631561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565247129725440).

341123631561600 is an abundant number, since it is smaller than the sum of its proper divisors (789370627889280).

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

341123631561600 is a wasteful number, since it uses less digits than its factorization.

341123631561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77198 (or 77181 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

Adding to 341123631561600 its reverse (6165136321143), we get a palindrome (347288767882743).

The spelling of 341123631561600 in words is "three hundred forty-one trillion, one hundred twenty-three billion, six hundred thirty-one million, five hundred sixty-one thousand, six hundred".