6838599436461 has 48 divisors (see below), whose sum is σ = 10653475822080. Its totient is φ = 4202180104320.

The previous prime is 6838599436457. The next prime is 6838599436469. The reversal of 6838599436461 is 1646349958386.

6838599436461 is a `hidden beast` number, since 6 + 8 + 38 + 5 + 99 + 43 + 6 + 461 = 666.

It is not a de Polignac number, because 6838599436461 - 2² = 6838599436457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6838599436461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6838599436469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263628630 + ... + 263654568.

It is an arithmetic number, because the mean of its divisors is an integer number (221947412960).

Almost surely, 2^{6838599436461} is an apocalyptic number.

It is an amenable number.

6838599436461 is a deficient number, since it is larger than the sum of its proper divisors (3814876385619).

6838599436461 is a wasteful number, since it uses less digits than its factorization.

6838599436461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29186 (or 29183 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 6838599436461 in words is "six trillion, eight hundred thirty-eight billion, five hundred ninety-nine million, four hundred thirty-six thousand, four hundred sixty-one".