315816963000 has 512 divisors, whose sum is σ = 1233083105280. Its totient is φ = 65378880000.

The previous prime is 315816962911. The next prime is 315816963001. The reversal of 315816963000 is 369618513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315816963001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65370585 + ... + 65375415.

It is an arithmetic number, because the mean of its divisors is an integer number (2408365440).

Almost surely, 2^315816963000 is an apocalyptic number.

315816963000 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 315816963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616541552640).

315816963000 is an abundant number, since it is smaller than the sum of its proper divisors (917266142280).

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

315816963000 is a wasteful number, since it uses less digits than its factorization.

315816963000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 315816963000 in words is "three hundred fifteen billion, eight hundred sixteen million, nine hundred sixty-three thousand".