820012849641 has 32 divisors (see below), whose sum is σ = 1223840217600. Its totient is φ = 542624086800.

The previous prime is 820012849637. The next prime is 820012849693. The reversal of 820012849641 is 146948210028.

It is not a de Polignac number, because 820012849641 - 2² = 820012849637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820012829641) 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 31 ways as a sum of consecutive naturals, for example, 19295466 + ... + 19337916.

It is an arithmetic number, because the mean of its divisors is an integer number (38245006800).

Almost surely, 2^820012849641 is an apocalyptic number.

It is an amenable number.

820012849641 is a deficient number, since it is larger than the sum of its proper divisors (403827367959).

820012849641 is a wasteful number, since it uses less digits than its factorization.

820012849641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47746 (or 47740 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 820012849641 in words is "eight hundred twenty billion, twelve million, eight hundred forty-nine thousand, six hundred forty-one".