315032355456 has 384 divisors, whose sum is σ = 1056663336960. Its totient is φ = 82423111680.

The previous prime is 315032355427. The next prime is 315032355461. The reversal of 315032355456 is 654553230513.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31060146 + ... + 31070286.

It is an arithmetic number, because the mean of its divisors is an integer number (2751727440).

Almost surely, 2^315032355456 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 315032355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528331668480).

315032355456 is an abundant number, since it is smaller than the sum of its proper divisors (741630981504).

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

315032355456 is a wasteful number, since it uses less digits than its factorization.

315032355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312 (or 10293 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

Adding to 315032355456 its reverse (654553230513), we get a palindrome (969585585969).

The spelling of 315032355456 in words is "three hundred fifteen billion, thirty-two million, three hundred fifty-five thousand, four hundred fifty-six".