314555849664 has 448 divisors, whose sum is σ = 994086912000. Its totient is φ = 87724256256.

The previous prime is 314555849651. The next prime is 314555849681. The reversal of 314555849664 is 466948555413.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 314555849598 and 314555849607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535869979 + ... + 535870565.

It is an arithmetic number, because the mean of its divisors is an integer number (2218944000).

Almost surely, 2^314555849664 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 314555849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497043456000).

314555849664 is an abundant number, since it is smaller than the sum of its proper divisors (679531062336).

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

314555849664 is a wasteful number, since it uses less digits than its factorization.

314555849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 781 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 60.

The spelling of 314555849664 in words is "three hundred fourteen billion, five hundred fifty-five million, eight hundred forty-nine thousand, six hundred sixty-four".