84076221681 has 27 divisors (see below), whose sum is σ = 128196800121. Its totient is φ = 53090333064.

The previous prime is 84076221679. The next prime is 84076221701. The reversal of 84076221681 is 18612267048.

The square root of 84076221681 is 289959.

It is a perfect power (a square), and thus also a powerful number.

84076221681 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 622 + 16 + 8 + 1 = 666.

It is not a de Polignac number, because 84076221681 - 2¹ = 84076221679 is a prime.

It is a super-2 number, since 2×84076221681² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84076221641) 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 26 ways as a sum of consecutive naturals, for example, 16525120 + ... + 16530206.

Almost surely, 2^84076221681 is an apocalyptic number.

84076221681 is the 289959-th square number.

84076221681 is the 144980-th centered octagonal number.

It is an amenable number.

84076221681 is a deficient number, since it is larger than the sum of its proper divisors (44120578440).

84076221681 is an frugal number, since it uses more digits than its factorization.

84076221681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10218 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 84076221681 in words is "eighty-four billion, seventy-six million, two hundred twenty-one thousand, six hundred eighty-one".