128834323438821 has 384 divisors, whose sum is σ = 246776877268992. Its totient is φ = 58050857779200.

The previous prime is 128834323438817. The next prime is 128834323438927.

It is a happy number.

128834323438821 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 128834323438821 - 2² = 128834323438817 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128834323438421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56680299541 + ... + 56680301813.

It is an arithmetic number, because the mean of its divisors is an integer number (642648117888).

Almost surely, 2^{128834323438821} is an apocalyptic number.

128834323438821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

128834323438821 is a deficient number, since it is larger than the sum of its proper divisors (117942553830171).

128834323438821 is a wasteful number, since it uses less digits than its factorization.

128834323438821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3614 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 60.

The spelling of 128834323438821 in words is "one hundred twenty-eight trillion, eight hundred thirty-four billion, three hundred twenty-three million, four hundred thirty-eight thousand, eight hundred twenty-one".