821901675456 has 168 divisors, whose sum is σ = 2390310509184. Its totient is φ = 269961914880.

The previous prime is 821901675319. The next prime is 821901675467. The reversal of 821901675456 is 654576109128.

It is a happy number.

821901675456 is a `hidden beast` number, since 8 + 2 + 1 + 90 + 1 + 6 + 7 + 545 + 6 = 666.

821901675456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95978631 + ... + 95987193.

Almost surely, 2^821901675456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821901675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195155254592).

821901675456 is an abundant number, since it is smaller than the sum of its proper divisors (1568408833728).

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

821901675456 is a wasteful number, since it uses less digits than its factorization.

821901675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10999 (or 10986 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 821901675456 in words is "eight hundred twenty-one billion, nine hundred one million, six hundred seventy-five thousand, four hundred fifty-six".