714609441468 has 288 divisors, whose sum is σ = 2057337225216. Its totient is φ = 207491936256.

The previous prime is 714609441467. The next prime is 714609441473. The reversal of 714609441468 is 864144906417.

714609441468 is a `hidden beast` number, since 7 + 14 + 609 + 4 + 4 + 14 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714609441467) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 399892471 + ... + 399894257.

It is an arithmetic number, because the mean of its divisors is an integer number (7143532032).

Almost surely, 2^714609441468 is an apocalyptic number.

714609441468 is a gapful number since it is divisible by the number (78) 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 714609441468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028668612608).

714609441468 is an abundant number, since it is smaller than the sum of its proper divisors (1342727783748).

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

714609441468 is a wasteful number, since it uses less digits than its factorization.

714609441468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 714609441468 in words is "seven hundred fourteen billion, six hundred nine million, four hundred forty-one thousand, four hundred sixty-eight".