315034451144 has 128 divisors (see below), whose sum is σ = 712328256000. Its totient is φ = 127801320192.

The previous prime is 315034451129. The next prime is 315034451183. The reversal of 315034451144 is 441154430513.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241775597 + ... + 241776899.

It is an arithmetic number, because the mean of its divisors is an integer number (5565064500).

Almost surely, 2^315034451144 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 315034451144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356164128000).

315034451144 is an abundant number, since it is smaller than the sum of its proper divisors (397293804856).

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

315034451144 is an equidigital number, since it uses as much as digits as its factorization.

315034451144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 315034451144 its reverse (441154430513), we get a palindrome (756188881657).

The spelling of 315034451144 in words is "three hundred fifteen billion, thirty-four million, four hundred fifty-one thousand, one hundred forty-four".