85518464121 has 16 divisors (see below), whose sum is σ = 126791755200. Its totient is φ = 56968329024.

The previous prime is 85518464107. The next prime is 85518464137. The reversal of 85518464121 is 12146481558.

85518464121 is a `hidden beast` number, since 8 + 5 + 518 + 4 + 6 + 4 + 121 = 666.

It is not a de Polignac number, because 85518464121 - 2⁵ = 85518464089 is a prime.

It is a super-2 number, since 2×85518464121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85518464021) 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 15 ways as a sum of consecutive naturals, for example, 1186011 + ... + 1256048.

It is an arithmetic number, because the mean of its divisors is an integer number (7924484700).

Almost surely, 2^85518464121 is an apocalyptic number.

It is an amenable number.

85518464121 is a deficient number, since it is larger than the sum of its proper divisors (41273291079).

85518464121 is a wasteful number, since it uses less digits than its factorization.

85518464121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443365 (or 2443359 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 85518464121 in words is "eighty-five billion, five hundred eighteen million, four hundred sixty-four thousand, one hundred twenty-one".