315240284160 has 816 divisors, whose sum is σ = 1174807198656. Its totient is φ = 81027661824.

The previous prime is 315240284147. The next prime is 315240284201. The reversal of 315240284160 is 61482042513.

It is a happy number.

315240284160 is a `hidden beast` number, since 3 + 15 + 2 + 402 + 84 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2946170827 + ... + 2946170933.

Almost surely, 2^315240284160 is an apocalyptic number.

315240284160 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 315240284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587403599328).

315240284160 is an abundant number, since it is smaller than the sum of its proper divisors (859566914496).

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

315240284160 is an frugal number, since it uses more digits than its factorization.

315240284160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 315240284160 in words is "three hundred fifteen billion, two hundred forty million, two hundred eighty-four thousand, one hundred sixty".