315631987968 has 288 divisors, whose sum is σ = 925839774720. Its totient is φ = 94667489280.

The previous prime is 315631987933. The next prime is 315631987969. The reversal of 315631987968 is 869789136513.

It is a super-3 number, since 3×315631987968³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 315631987899 and 315631987908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315631987969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577023471 + ... + 577024017.

It is an arithmetic number, because the mean of its divisors is an integer number (3214721440).

Almost surely, 2^315631987968 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 315631987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462919887360).

315631987968 is an abundant number, since it is smaller than the sum of its proper divisors (610207786752).

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

315631987968 is a wasteful number, since it uses less digits than its factorization.

315631987968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 66.

The spelling of 315631987968 in words is "three hundred fifteen billion, six hundred thirty-one million, nine hundred eighty-seven thousand, nine hundred sixty-eight".