314805400448 has 128 divisors (see below), whose sum is σ = 782326944000. Its totient is φ = 122584965120.

The previous prime is 314805400417. The next prime is 314805400477. The reversal of 314805400448 is 844004508413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20680136 + ... + 20695352.

It is an arithmetic number, because the mean of its divisors is an integer number (6111929250).

Almost surely, 2^314805400448 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 314805400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391163472000).

314805400448 is an abundant number, since it is smaller than the sum of its proper divisors (467521543552).

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

314805400448 is a wasteful number, since it uses less digits than its factorization.

314805400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348 (or 17336 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The spelling of 314805400448 in words is "three hundred fourteen billion, eight hundred five million, four hundred thousand, four hundred forty-eight".