84321263040921 has 27 divisors (see below), whose sum is σ = 122163241710783. Its totient is φ = 56045820453840.

The previous prime is 84321263040893. The next prime is 84321263040923. The reversal of 84321263040921 is 12904036212348.

The square root of 84321263040921 is 9182661.

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

84321263040921 is a `hidden beast` number, since 8 + 4 + 3 + 2 + 1 + 2 + 630 + 4 + 0 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53419449117321 + 30901813923600 = 7308861^2 + 5558940^2 .

It is not a de Polignac number, because 84321263040921 - 2¹³ = 84321263032729 is a prime.

It is a super-2 number, since 2×84321263040921² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84321263040923) 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 26 ways as a sum of consecutive naturals, for example, 9559145691 + ... + 9559154511.

Almost surely, 2^{84321263040921} is an apocalyptic number.

84321263040921 is the 9182661-st square number.

84321263040921 is the 4591331-st centered octagonal number.

It is an amenable number.

84321263040921 is a deficient number, since it is larger than the sum of its proper divisors (37841978669862).

84321263040921 is an frugal number, since it uses more digits than its factorization.

84321263040921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18342 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 84321263040921 in words is "eighty-four trillion, three hundred twenty-one billion, two hundred sixty-three million, forty thousand, nine hundred twenty-one".