84437518842121 has 27 divisors (see below), whose sum is σ = 92088825999399. Its totient is φ = 77408043336000.

The previous prime is 84437518842077. The next prime is 84437518842161. The reversal of 84437518842121 is 12124881573448.

The square root of 84437518842121 is 9188989.

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., 79636687275721 + 4800831566400 = 8923939^2 + 2191080^2 .

It is not a de Polignac number, because 84437518842121 - 2¹³ = 84437518833929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84437518842161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5412306721 + ... + 5412322321.

It is an arithmetic number, because the mean of its divisors is an integer number (3410697259237).

Almost surely, 2^{84437518842121} is an apocalyptic number.

84437518842121 is the 9188989-th square number.

84437518842121 is the 4594495-th centered octagonal number.

It is an amenable number.

84437518842121 is a deficient number, since it is larger than the sum of its proper divisors (7651307157278).

84437518842121 is an frugal number, since it uses more digits than its factorization.

84437518842121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31302 (or 15651 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 58.

The spelling of 84437518842121 in words is "eighty-four trillion, four hundred thirty-seven billion, five hundred eighteen million, eight hundred forty-two thousand, one hundred twenty-one".