315214345520 has 80 divisors (see below), whose sum is σ = 737444809440. Its totient is φ = 125299924992.

The previous prime is 315214345519. The next prime is 315214345571. The reversal of 315214345520 is 25543412513.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43855367 + ... + 43862553.

It is an arithmetic number, because the mean of its divisors is an integer number (9218060118).

Almost surely, 2^315214345520 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 315214345520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368722404720).

315214345520 is an abundant number, since it is smaller than the sum of its proper divisors (422230463920).

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

315214345520 is a wasteful number, since it uses less digits than its factorization.

315214345520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10542 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 315214345520 in words is "three hundred fifteen billion, two hundred fourteen million, three hundred forty-five thousand, five hundred twenty".