314104414100000 has 144 divisors (see below), whose sum is σ = 773577280525896. Its totient is φ = 125538478080000.

The previous prime is 314104414099963. The next prime is 314104414100017. The reversal of 314104414100000 is 1414401413.

It can be written as a sum of positive squares in 12 ways, for example, as 197548984364944 + 116555429735056 = 14055212^2 + 10796084^2 .

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 23 ways as a sum of consecutive naturals, for example, 120409514 + ... + 122990486.

Almost surely, 2^{314104414100000} 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 314104414100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386788640262948).

314104414100000 is an abundant number, since it is smaller than the sum of its proper divisors (459472866425896).

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

314104414100000 is an equidigital number, since it uses as much as digits as its factorization.

314104414100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582225 (or 2582197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 314104414100000 its reverse (1414401413), we get a palindrome (314105828501413).

The spelling of 314104414100000 in words is "three hundred fourteen trillion, one hundred four billion, four hundred fourteen million, one hundred thousand".