84459757659601 has 9 divisors (see below), whose sum is σ = 85867611931803. Its totient is φ = 83074620056520.

The previous prime is 84459757659577. The next prime is 84459757659637. The reversal of 84459757659601 is 10695675795448.

The square root of 84459757659601 is 9190199.

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., 2746474248001 + 81713283411600 = 1657249^2 + 9039540^2 .

It is not a de Polignac number, because 84459757659601 - 2²³ = 84459749270993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84459757659301) 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 8 ways as a sum of consecutive naturals, for example, 560526810 + ... + 560677468.

Almost surely, 2^{84459757659601} is an apocalyptic number.

84459757659601 is the 9190199-th square number.

84459757659601 is the 4595100-th centered octagonal number.

It is an amenable number.

84459757659601 is a deficient number, since it is larger than the sum of its proper divisors (1407854272202).

84459757659601 is an frugal number, since it uses more digits than its factorization.

84459757659601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301440 (or 150720 counting only the distinct ones).

The product of its (nonzero) digits is 2286144000, while the sum is 76.

The spelling of 84459757659601 in words is "eighty-four trillion, four hundred fifty-nine billion, seven hundred fifty-seven million, six hundred fifty-nine thousand, six hundred one".