315114451008 has 224 divisors, whose sum is σ = 1012348089600. Its totient is φ = 84578328576.

The previous prime is 315114450991. The next prime is 315114451013. The reversal of 315114451008 is 800154411513.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 315114451008.

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, 1332858 + ... + 1551366.

Almost surely, 2^315114451008 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 315114451008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506174044800).

315114451008 is an abundant number, since it is smaller than the sum of its proper divisors (697233638592).

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

315114451008 is a wasteful number, since it uses less digits than its factorization.

315114451008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218597 (or 218587 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 315114451008 in words is "three hundred fifteen billion, one hundred fourteen million, four hundred fifty-one thousand, eight".