820662346431 has 12 divisors (see below), whose sum is σ = 1214313391200. Its totient is φ = 533764127520.

The previous prime is 820662346397. The next prime is 820662346481. The reversal of 820662346431 is 134643266028.

820662346431 is a `hidden beast` number, since 8 + 206 + 6 + 2 + 3 + 4 + 6 + 431 = 666.

It is not a de Polignac number, because 820662346431 - 2²⁵ = 820628791999 is a prime.

It is a super-2 number, since 2×820662346431² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820662346481) 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 11 ways as a sum of consecutive naturals, for example, 1112008231 + ... + 1112008968.

It is an arithmetic number, because the mean of its divisors is an integer number (101192782600).

Almost surely, 2^820662346431 is an apocalyptic number.

820662346431 is a deficient number, since it is larger than the sum of its proper divisors (393651044769).

820662346431 is a wasteful number, since it uses less digits than its factorization.

820662346431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224017246 (or 2224017243 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 820662346431 in words is "eight hundred twenty billion, six hundred sixty-two million, three hundred forty-six thousand, four hundred thirty-one".