315045199872 has 420 divisors, whose sum is σ = 1017843287020. Its totient is φ = 96889208832.

The previous prime is 315045199823. The next prime is 315045199879. The reversal of 315045199872 is 278991540513.

It is a happy number.

315045199872 is a `hidden beast` number, since 3 + 1 + 50 + 4 + 519 + 9 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204969885696 + 110075314176 = 452736^2 + 331776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (315045199879) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 155270154 + ... + 155272182.

Almost surely, 2^315045199872 is an apocalyptic number.

315045199872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315045199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508921643510).

315045199872 is an abundant number, since it is smaller than the sum of its proper divisors (702798087148).

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

315045199872 is an frugal number, since it uses more digits than its factorization.

315045199872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 315045199872 in words is "three hundred fifteen billion, forty-five million, one hundred ninety-nine thousand, eight hundred seventy-two".