314644532104504 has 128 divisors (see below), whose sum is σ = 719744418432000. Its totient is φ = 125957660304384.

The previous prime is 314644532104489. The next prime is 314644532104577. The reversal of 314644532104504 is 405401235446413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18827892 + ... + 31365244.

It is an arithmetic number, because the mean of its divisors is an integer number (5623003269000).

Almost surely, 2^{314644532104504} 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 314644532104504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359872209216000).

314644532104504 is an abundant number, since it is smaller than the sum of its proper divisors (405099886327496).

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

314644532104504 is a wasteful number, since it uses less digits than its factorization.

314644532104504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537717 (or 12537713 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 314644532104504 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred thirty-two million, one hundred four thousand, five hundred four".