1828135798401 has 16 divisors (see below), whose sum is σ = 2670232596480. Its totient is φ = 1103325264720.

The previous prime is 1828135798327. The next prime is 1828135798477. The reversal of 1828135798401 is 1048975318281.

It is a happy number.

It is not a de Polignac number, because 1828135798401 - 2¹⁴ = 1828135782017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1828135797401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115887625 + ... + 115903398.

It is an arithmetic number, because the mean of its divisors is an integer number (166889537280).

Almost surely, 2^{1828135798401} is an apocalyptic number.

1828135798401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1828135798401 is a deficient number, since it is larger than the sum of its proper divisors (842096798079).

1828135798401 is a wasteful number, since it uses less digits than its factorization.

1828135798401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231791276.

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 1828135798401 in words is "one trillion, eight hundred twenty-eight billion, one hundred thirty-five million, seven hundred ninety-eight thousand, four hundred one".