81856800414 has 24 divisors (see below), whose sum is σ = 177367552752. Its totient is φ = 27283884480.

The previous prime is 81856800401. The next prime is 81856800427. The reversal of 81856800414 is 41400865818.

81856800414 is a `hidden beast` number, since 81 + 8 + 568 + 0 + 0 + 4 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (81856800401) and next prime (81856800427).

It is a self number, because there is not a number n which added to its sum of digits gives 81856800414.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 169734 + ... + 438774.

It is an arithmetic number, because the mean of its divisors is an integer number (7390314698).

Almost surely, 2^81856800414 is an apocalyptic number.

81856800414 is an abundant number, since it is smaller than the sum of its proper divisors (95510752338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81856800414 is a wasteful number, since it uses less digits than its factorization.

81856800414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285952 (or 285949 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 81856800414 in words is "eighty-one billion, eight hundred fifty-six million, eight hundred thousand, four hundred fourteen".