828437939078401 has 8 divisors (see below), whose sum is σ = 828833175165600. Its totient is φ = 828042726072672.

The previous prime is 828437939078363. The next prime is 828437939078423. The reversal of 828437939078401 is 104870939734828.

828437939078401 is digitally balanced in base 2, 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 828437939078401 - 2²³ = 828437930689793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828437939073401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66244861 + ... + 77751253.

It is an arithmetic number, because the mean of its divisors is an integer number (103604146895700).

Almost surely, 2^{828437939078401} is an apocalyptic number.

It is an amenable number.

828437939078401 is a deficient number, since it is larger than the sum of its proper divisors (395236087199).

828437939078401 is a wasteful number, since it uses less digits than its factorization.

828437939078401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540735.

The product of its (nonzero) digits is 585252864, while the sum is 73.

The spelling of 828437939078401 in words is "eight hundred twenty-eight trillion, four hundred thirty-seven billion, nine hundred thirty-nine million, seventy-eight thousand, four hundred one".