85049223424 has 81 divisors (see below), whose sum is σ = 186715225641. Its totient is φ = 38635407360.

The previous prime is 85049223361. The next prime is 85049223433. The reversal of 85049223424 is 42432294058.

It is a happy number.

The square root of 85049223424 is 291632.

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., 27079993600 + 57969229824 = 164560^2 + 240768^2 .

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, 51326404 + ... + 51328060.

Almost surely, 2^85049223424 is an apocalyptic number.

85049223424 is the 291632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85049223424

85049223424 is an abundant number, since it is smaller than the sum of its proper divisors (101666002217).

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

85049223424 is an frugal number, since it uses more digits than its factorization.

85049223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 85049223424 in words is "eighty-five billion, forty-nine million, two hundred twenty-three thousand, four hundred twenty-four".