315487302816 has 144 divisors (see below), whose sum is σ = 965845127520. Its totient is φ = 89906987520.

The previous prime is 315487302791. The next prime is 315487302821. The reversal of 315487302816 is 618203784513.

It is a super-2 number, since 2×315487302816² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743651 + ... + 1916061.

It is an arithmetic number, because the mean of its divisors is an integer number (6707257830).

Almost surely, 2^315487302816 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 315487302816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482922563760).

315487302816 is an abundant number, since it is smaller than the sum of its proper divisors (650357824704).

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

315487302816 is a wasteful number, since it uses less digits than its factorization.

315487302816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172827 (or 172812 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 315487302816 in words is "three hundred fifteen billion, four hundred eighty-seven million, three hundred two thousand, eight hundred sixteen".