821426638311 has 12 divisors (see below), whose sum is σ = 1214098287688. Its totient is φ = 534882461904.

The previous prime is 821426638271. The next prime is 821426638349. The reversal of 821426638311 is 113836624128.

821426638311 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 2 + 6 + 638 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 821426638311 - 2⁶ = 821426638247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821426636311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1061274340 + ... + 1061275113.

Almost surely, 2^821426638311 is an apocalyptic number.

821426638311 is a deficient number, since it is larger than the sum of its proper divisors (392671649377).

821426638311 is a wasteful number, since it uses less digits than its factorization.

821426638311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122549502 (or 2122549499 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 821426638311 in words is "eight hundred twenty-one billion, four hundred twenty-six million, six hundred thirty-eight thousand, three hundred eleven".