8290218408021 has 16 divisors (see below), whose sum is σ = 13398332781120. Its totient is φ = 5024374792560.

The previous prime is 8290218407987. The next prime is 8290218408023. The reversal of 8290218408021 is 1208048120928.

8290218408021 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 218 + 408 + 0 + 21 = 666.

It is not a de Polignac number, because 8290218408021 - 2³⁰ = 8289144666197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8290218408023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13956596350 + ... + 13956596943.

It is an arithmetic number, because the mean of its divisors is an integer number (837395798820).

Almost surely, 2^{8290218408021} is an apocalyptic number.

It is an amenable number.

8290218408021 is a deficient number, since it is larger than the sum of its proper divisors (5108114373099).

8290218408021 is a wasteful number, since it uses less digits than its factorization.

8290218408021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913193313 (or 27913193307 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 8290218408021 in words is "eight trillion, two hundred ninety billion, two hundred eighteen million, four hundred eight thousand, twenty-one".