314011201400144 has 20 divisors (see below), whose sum is σ = 608397311871924. Its totient is φ = 157005443497728.

The previous prime is 314011201400119. The next prime is 314011201400159. The reversal of 314011201400144 is 441004102110413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 149571921601600 + 164439279798544 = 12229960^2 + 12823388^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7589564 + ... + 26184420.

Almost surely, 2^{314011201400144} is an apocalyptic number.

It is an amenable number.

314011201400144 is a deficient number, since it is larger than the sum of its proper divisors (294386110471780).

314011201400144 is a wasteful number, since it uses less digits than its factorization.

314011201400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19650302 (or 19650296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 314011201400144 its reverse (441004102110413), we get a palindrome (755015303510557).

The spelling of 314011201400144 in words is "three hundred fourteen trillion, eleven billion, two hundred one million, four hundred thousand, one hundred forty-four".