84268864681 has 9 divisors (see below), whose sum is σ = 85095150231. Its totient is φ = 83450534352.

The previous prime is 84268864679. The next prime is 84268864703. The reversal of 84268864681 is 18646886248.

The square root of 84268864681 is 290291.

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

It can be written as a sum of positive squares in only one way, i.e., 83154373225 + 1114491456 = 288365^2 + 33384^2 .

It is not a de Polignac number, because 84268864681 - 2¹ = 84268864679 is a prime.

It is a super-2 number, since 2×84268864681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84268864661) 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 8 ways as a sum of consecutive naturals, for example, 31059781 + ... + 31062493.

Almost surely, 2^84268864681 is an apocalyptic number.

84268864681 is the 290291-st square number.

84268864681 is the 145146-th centered octagonal number.

It is an amenable number.

84268864681 is a deficient number, since it is larger than the sum of its proper divisors (826285550).

84268864681 is an frugal number, since it uses more digits than its factorization.

84268864681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 2820 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 61.

The spelling of 84268864681 in words is "eighty-four billion, two hundred sixty-eight million, eight hundred sixty-four thousand, six hundred eighty-one".