315445234524032 has 64 divisors (see below), whose sum is σ = 631320973301760. Its totient is φ = 156996221345280.

The previous prime is 315445234524019. The next prime is 315445234524047. The reversal of 315445234524032 is 230425432544513.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235190357 + ... + 236527787.

It is an arithmetic number, because the mean of its divisors is an integer number (9864390207840).

Almost surely, 2^{315445234524032} is an apocalyptic number.

315445234524032 is a gapful number since it is divisible by the number (32) 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 315445234524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315660486650880).

315445234524032 is an abundant number, since it is smaller than the sum of its proper divisors (315875738777728).

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

315445234524032 is a wasteful number, since it uses less digits than its factorization.

315445234524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345931 (or 1345919 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 47.

The spelling of 315445234524032 in words is "three hundred fifteen trillion, four hundred forty-five billion, two hundred thirty-four million, five hundred twenty-four thousand, thirty-two".