821333242333128 has 128 divisors (see below), whose sum is σ = 2374065783072000. Its totient is φ = 231934869811200.

The previous prime is 821333242333117. The next prime is 821333242333133.

821333242333128 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×821333242333128² (a number of 31 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32880213 + ... + 52189796.

It is an arithmetic number, because the mean of its divisors is an integer number (18547388930250).

Almost surely, 2^{821333242333128} is an apocalyptic number.

It is an amenable number.

821333242333128 is an abundant number, since it is smaller than the sum of its proper divisors (1552732540738872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821333242333128 is a wasteful number, since it uses less digits than its factorization.

821333242333128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85070695 (or 85070691 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 821333242333128 in words is "eight hundred twenty-one trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, one hundred twenty-eight".