728459351346401 has 16 divisors (see below), whose sum is σ = 731959935851520. Its totient is φ = 724961355489360.

The previous prime is 728459351346359. The next prime is 728459351346409. The reversal of 728459351346401 is 104643153954827.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-728459351346401 is a prime.

It is a super-3 number, since 3×728459351346401³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728459351346409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18564657140 + ... + 18564696378.

It is an arithmetic number, because the mean of its divisors is an integer number (45747495990720).

It is a 1-persistent number, because it is pandigital, but 2⋅728459351346401 = 1456918702692802 is not.

Almost surely, 2^{728459351346401} is an apocalyptic number.

It is an amenable number.

728459351346401 is a deficient number, since it is larger than the sum of its proper divisors (3500584505119).

728459351346401 is a wasteful number, since it uses less digits than its factorization.

728459351346401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69964.

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 728459351346401 in words is "seven hundred twenty-eight trillion, four hundred fifty-nine billion, three hundred fifty-one million, three hundred forty-six thousand, four hundred one".