714946848 has 288 divisors, whose sum is σ = 2446936128. Its totient is φ = 180633600.

The previous prime is 714946787. The next prime is 714946861. The reversal of 714946848 is 848649417.

It is a super-3 number, since 3×714946848³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 714946848.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121336 + ... + 2121672.

It is an arithmetic number, because the mean of its divisors is an integer number (8496306).

Almost surely, 2^714946848 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 714946848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223468064).

714946848 is an abundant number, since it is smaller than the sum of its proper divisors (1731989280).

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

714946848 is a wasteful number, since it uses less digits than its factorization.

714946848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 714946848 is about 26738.4900097219. The cubic root of 714946848 is about 894.1792452728.

The spelling of 714946848 in words is "seven hundred fourteen million, nine hundred forty-six thousand, eight hundred forty-eight".