821146641128 has 32 divisors (see below), whose sum is σ = 1679653704960. Its totient is φ = 373240567680.

The previous prime is 821146641109. The next prime is 821146641173.

821146641128 is nontrivially palindromic in base 10.

821146641128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×821146641128² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6802676 + ... + 6922332.

It is an arithmetic number, because the mean of its divisors is an integer number (52489178280).

Almost surely, 2^821146641128 is an apocalyptic number.

821146641128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821146641128 is an abundant number, since it is smaller than the sum of its proper divisors (858507063832).

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

821146641128 is a wasteful number, since it uses less digits than its factorization.

821146641128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197657 (or 197653 counting only the distinct ones).

The product of its digits is 147456, while the sum is 44.

The spelling of 821146641128 in words is "eight hundred twenty-one billion, one hundred forty-six million, six hundred forty-one thousand, one hundred twenty-eight".