8221363404408 has 512 divisors, whose sum is σ = 30193523712000. Its totient is φ = 2006710917120.

The previous prime is 8221363404329. The next prime is 8221363404439. The reversal of 8221363404408 is 8044043631228.

It is a happy number.

8221363404408 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 3 + 634 + 0 + 4 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186306235 + ... + 186350357.

It is an arithmetic number, because the mean of its divisors is an integer number (58971726000).

Almost surely, 2^{8221363404408} is an apocalyptic number.

8221363404408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221363404408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096761856000).

8221363404408 is an abundant number, since it is smaller than the sum of its proper divisors (21972160307592).

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

8221363404408 is a wasteful number, since it uses less digits than its factorization.

8221363404408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44832 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8221363404408 in words is "eight trillion, two hundred twenty-one billion, three hundred sixty-three million, four hundred four thousand, four hundred eight".