315386248320 has 1536 divisors, whose sum is σ = 1359248083200. Its totient is φ = 68611276800.

The previous prime is 315386248297. The next prime is 315386248339. The reversal of 315386248320 is 23842683513.

315386248320 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 86 + 248 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1114438899 + ... + 1114439181.

Almost surely, 2^315386248320 is an apocalyptic number.

315386248320 is a gapful number since it is divisible by the number (30) 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 315386248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679624041600).

315386248320 is an abundant number, since it is smaller than the sum of its proper divisors (1043861834880).

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

315386248320 is a wasteful number, since it uses less digits than its factorization.

315386248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 315386248320 in words is "three hundred fifteen billion, three hundred eighty-six million, two hundred forty-eight thousand, three hundred twenty".