821962338048 has 216 divisors, whose sum is σ = 2422917439488. Its totient is φ = 267872864256.

The previous prime is 821962338019. The next prime is 821962338079. The reversal of 821962338048 is 840833269128.

821962338048 is a `hidden beast` number, since 8 + 2 + 1 + 9 + 623 + 3 + 8 + 0 + 4 + 8 = 666.

821962338048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 821962337985 and 821962338003.

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, 117705565 + ... + 117712547.

It is an arithmetic number, because the mean of its divisors is an integer number (11217210368).

Almost surely, 2^821962338048 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 821962338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211458719744).

821962338048 is an abundant number, since it is smaller than the sum of its proper divisors (1600955101440).

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

821962338048 is a wasteful number, since it uses less digits than its factorization.

821962338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 821962338048 in words is "eight hundred twenty-one billion, nine hundred sixty-two million, three hundred thirty-eight thousand, forty-eight".