85549624484416 has 63 divisors (see below), whose sum is σ = 171350433585849. Its totient is φ = 42378387072768.

The previous prime is 85549624484383. The next prime is 85549624484453. The reversal of 85549624484416 is 61448442694558.

The square root of 85549624484416 is 9249304.

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., 59627677834816 + 25921946649600 = 7721896^2 + 5091360^2 .

It is a super-2 number, since 2×85549624484416² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8065387785 + ... + 8065398391.

Almost surely, 2^{85549624484416} is an apocalyptic number.

85549624484416 is the 9249304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85549624484416

85549624484416 is an abundant number, since it is smaller than the sum of its proper divisors (85800809101433).

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

85549624484416 is an frugal number, since it uses more digits than its factorization.

85549624484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21444 (or 10718 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 70.

The spelling of 85549624484416 in words is "eighty-five trillion, five hundred forty-nine billion, six hundred twenty-four million, four hundred eighty-four thousand, four hundred sixteen".