85146601221 has 16 divisors (see below), whose sum is σ = 137610669120. Its totient is φ = 51604000560.

The previous prime is 85146601219. The next prime is 85146601259. The reversal of 85146601221 is 12210664158.

It is a happy number.

85146601221 is a `hidden beast` number, since 8 + 5 + 1 + 46 + 601 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 85146601221 - 2¹ = 85146601219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85146601201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143344150 + ... + 143344743.

It is an arithmetic number, because the mean of its divisors is an integer number (8600666820).

Almost surely, 2^85146601221 is an apocalyptic number.

It is an amenable number.

85146601221 is a deficient number, since it is larger than the sum of its proper divisors (52464067899).

85146601221 is a wasteful number, since it uses less digits than its factorization.

85146601221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286688913 (or 286688907 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 85146601221 in words is "eighty-five billion, one hundred forty-six million, six hundred one thousand, two hundred twenty-one".