314115354320504 has 128 divisors (see below), whose sum is σ = 652394818252800. Its totient is φ = 140593038768000.

The previous prime is 314115354320491. The next prime is 314115354320543. The reversal of 314115354320504 is 405023453511413.

It is a super-3 number, since 3×314115354320504³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895867439 + ... + 3895948065.

It is an arithmetic number, because the mean of its divisors is an integer number (5096834517600).

Almost surely, 2^{314115354320504} 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 314115354320504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326197409126400).

314115354320504 is an abundant number, since it is smaller than the sum of its proper divisors (338279463932296).

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

314115354320504 is a wasteful number, since it uses less digits than its factorization.

314115354320504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82225 (or 82221 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 314115354320504 in words is "three hundred fourteen trillion, one hundred fifteen billion, three hundred fifty-four million, three hundred twenty thousand, five hundred four".