714548345280 has 1344 divisors, whose sum is σ = 3043282378752. Its totient is φ = 137733488640.

The previous prime is 714548345267. The next prime is 714548345309. The reversal of 714548345280 is 82543845417.

714548345280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2327518887 + ... + 2327519193.

It is an arithmetic number, because the mean of its divisors is an integer number (2264347008).

Almost surely, 2^714548345280 is an apocalyptic number.

714548345280 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714548345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521641189376).

714548345280 is an abundant number, since it is smaller than the sum of its proper divisors (2328734033472).

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

714548345280 is a wasteful number, since it uses less digits than its factorization.

714548345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 714548345280 in words is "seven hundred fourteen billion, five hundred forty-eight million, three hundred forty-five thousand, two hundred eighty".