821214363904 has 144 divisors (see below), whose sum is σ = 1802117782080. Its totient is φ = 370393210880.

The previous prime is 821214363883. The next prime is 821214363941. The reversal of 821214363904 is 409363412128.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232439322 + ... + 232442854.

It is an arithmetic number, because the mean of its divisors is an integer number (12514706820).

Almost surely, 2^821214363904 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 821214363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901058891040).

821214363904 is an abundant number, since it is smaller than the sum of its proper divisors (980903418176).

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

821214363904 is a wasteful number, since it uses less digits than its factorization.

821214363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 821214363904 in words is "eight hundred twenty-one billion, two hundred fourteen million, three hundred sixty-three thousand, nine hundred four".