315120401616144 has 80 divisors (see below), whose sum is σ = 815184502531200. Its totient is φ = 104895269698560.

The previous prime is 315120401616133. The next prime is 315120401616149. The reversal of 315120401616144 is 441616104021513.

It is not an unprimeable number, because it can be changed into a prime (315120401616149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100350382 + ... + 103442930.

It is an arithmetic number, because the mean of its divisors is an integer number (10189806281640).

Almost surely, 2^{315120401616144} is an apocalyptic number.

It is an amenable number.

315120401616144 is an abundant number, since it is smaller than the sum of its proper divisors (500064100915056).

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

315120401616144 is a wasteful number, since it uses less digits than its factorization.

315120401616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095488 (or 3095482 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 315120401616144 its reverse (441616104021513), we get a palindrome (756736505637657).

The spelling of 315120401616144 in words is "three hundred fifteen trillion, one hundred twenty billion, four hundred one million, six hundred sixteen thousand, one hundred forty-four".