85467353104 has 135 divisors (see below), whose sum is σ = 197333331447. Its totient is φ = 35755329792.

The previous prime is 85467353053. The next prime is 85467353119. The reversal of 85467353104 is 40135376458.

The square root of 85467353104 is 292348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 50063167504 + 35404185600 = 223748^2 + 188160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433844334 + ... + 433844530.

Almost surely, 2^85467353104 is an apocalyptic number.

85467353104 is the 292348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85467353104

85467353104 is an abundant number, since it is smaller than the sum of its proper divisors (111865978343).

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

85467353104 is an equidigital number, since it uses as much as digits as its factorization.

85467353104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 85467353104 in words is "eighty-five billion, four hundred sixty-seven million, three hundred fifty-three thousand, one hundred four".