714777789348480 has 2048 divisors, whose sum is σ = 2928624433459200. Its totient is φ = 145656777277440.

The previous prime is 714777789348433. The next prime is 714777789348521. The reversal of 714777789348480 is 84843987777417.

It is a junction number, because it is equal to n+sod(n) for n = 714777789348393 and 714777789348402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16020279132 + ... + 16020323748.

It is an arithmetic number, because the mean of its divisors is an integer number (1429992399150).

Almost surely, 2^{714777789348480} 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 714777789348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464312216729600).

714777789348480 is an abundant number, since it is smaller than the sum of its proper divisors (2213846644110720).

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

714777789348480 is a wasteful number, since it uses less digits than its factorization.

714777789348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44802 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 14869757952, while the sum is 84.

The spelling of 714777789348480 in words is "seven hundred fourteen trillion, seven hundred seventy-seven billion, seven hundred eighty-nine million, three hundred forty-eight thousand, four hundred eighty".