85653618245776 has 225 divisors, whose sum is σ = 202483400427609. Its totient is φ = 35095560280704.

The previous prime is 85653618245773. The next prime is 85653618245831. The reversal of 85653618245776 is 67754281635658.

The square root of 85653618245776 is 9254924.

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., 44213190490000 + 41440427755776 = 6649300^2 + 6437424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85653618245699 and 85653618245708.

It is not an unprimeable number, because it can be changed into a prime (85653618245773) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 41721196366 + ... + 41721198418.

Almost surely, 2^{85653618245776} is an apocalyptic number.

85653618245776 is the 9254924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85653618245776

85653618245776 is an abundant number, since it is smaller than the sum of its proper divisors (116829782181833).

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

85653618245776 is an frugal number, since it uses more digits than its factorization.

85653618245776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 2085 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 73.

The spelling of 85653618245776 in words is "eighty-five trillion, six hundred fifty-three billion, six hundred eighteen million, two hundred forty-five thousand, seven hundred seventy-six".