4582735368401 has 8 divisors (see below), whose sum is σ = 4584013490784. Its totient is φ = 4581457410240.

The previous prime is 4582735368397. The next prime is 4582735368437. The reversal of 4582735368401 is 1048635372854.

4582735368401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4582735368401 - 2² = 4582735368397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4582735358401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 72743846 + ... + 72806816.

It is an arithmetic number, because the mean of its divisors is an integer number (573001686348).

Almost surely, 2^{4582735368401} is an apocalyptic number.

It is an amenable number.

4582735368401 is a deficient number, since it is larger than the sum of its proper divisors (1278122383).

4582735368401 is a wasteful number, since it uses less digits than its factorization.

4582735368401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82111.

The product of its (nonzero) digits is 19353600, while the sum is 56.

The spelling of 4582735368401 in words is "four trillion, five hundred eighty-two billion, seven hundred thirty-five million, three hundred sixty-eight thousand, four hundred one".