104314144000000 has 336 divisors, whose sum is σ = 284420982802320. Its totient is φ = 37932288000000.

The previous prime is 104314143999973. The next prime is 104314144000019. The reversal of 104314144000000 is 441413401.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 351851827 + ... + 352148173.

It is an arithmetic number, because the mean of its divisors is an integer number (846491020245).

Almost surely, 2^{104314144000000} is an apocalyptic number.

104314144000000 is a gapful number since it is divisible by the number (10) 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 104314144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142210491401160).

104314144000000 is an abundant number, since it is smaller than the sum of its proper divisors (180106838802320).

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

104314144000000 is an frugal number, since it uses more digits than its factorization.

104314144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296410 (or 296365 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 104314144000000 its reverse (441413401), we get a palindrome (104314585413401).

The spelling of 104314144000000 in words is "one hundred four trillion, three hundred fourteen billion, one hundred forty-four million", and thus it is an aban number.