85641096346416 has 60 divisors (see below), whose sum is σ = 258112748716368. Its totient is φ = 26351106567552.

The previous prime is 85641096346409. The next prime is 85641096346417. The reversal of 85641096346416 is 61464369014658.

85641096346416 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 109 + 63 + 464 + 1 + 6 = 666.

It is a super-2 number, since 2×85641096346416² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85641096346417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22874222580 + ... + 22874226323.

Almost surely, 2^{85641096346416} is an apocalyptic number.

It is an amenable number.

85641096346416 is an abundant number, since it is smaller than the sum of its proper divisors (172471652369952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85641096346416 is a wasteful number, since it uses less digits than its factorization.

85641096346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45748448930 (or 45748448921 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 85641096346416 in words is "eighty-five trillion, six hundred forty-one billion, ninety-six million, three hundred forty-six thousand, four hundred sixteen".