85599300456121 has 9 divisors (see below), whose sum is σ = 85812894914733. Its totient is φ = 85386236401440.

The previous prime is 85599300456113. The next prime is 85599300456157. The reversal of 85599300456121 is 12165400399558.

It is a happy number.

The square root of 85599300456121 is 9251989.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69792473847721 + 15806826608400 = 8354189^2 + 3975780^2 .

It is not a de Polignac number, because 85599300456121 - 2³ = 85599300456113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85599300426121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3784052191 + ... + 3784074811.

It is an arithmetic number, because the mean of its divisors is an integer number (9534766101637).

Almost surely, 2^{85599300456121} is an apocalyptic number.

85599300456121 is the 9251989-th square number.

85599300456121 is the 4625995-th centered octagonal number.

It is an amenable number.

85599300456121 is a deficient number, since it is larger than the sum of its proper divisors (213594458612).

85599300456121 is an frugal number, since it uses more digits than its factorization.

85599300456121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46060 (or 23030 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 58.

The spelling of 85599300456121 in words is "eighty-five trillion, five hundred ninety-nine billion, three hundred million, four hundred fifty-six thousand, one hundred twenty-one".