314130352530544 has 160 divisors (see below), whose sum is σ = 707814554112000. Its totient is φ = 133546837881600.

The previous prime is 314130352530529. The next prime is 314130352530581. The reversal of 314130352530544 is 445035253031413.

It is a self number, because there is not a number n which added to its sum of digits gives 314130352530544.

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, 3225804447 + ... + 3225901825.

It is an arithmetic number, because the mean of its divisors is an integer number (4423840963200).

Almost surely, 2^{314130352530544} 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 314130352530544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353907277056000).

314130352530544 is an abundant number, since it is smaller than the sum of its proper divisors (393684201581456).

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

314130352530544 is a wasteful number, since it uses less digits than its factorization.

314130352530544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109707 (or 109701 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 43.

The spelling of 314130352530544 in words is "three hundred fourteen trillion, one hundred thirty billion, three hundred fifty-two million, five hundred thirty thousand, five hundred forty-four".