85198438343016 has 160 divisors (see below), whose sum is σ = 241541938915200. Its totient is φ = 28053563535360.

The previous prime is 85198438342967. The next prime is 85198438343021. The reversal of 85198438343016 is 61034383489158.

85198438343016 is a `hidden beast` number, since 8 + 5 + 198 + 4 + 3 + 8 + 3 + 430 + 1 + 6 = 666.

85198438343016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417207976 + ... + 417412136.

It is an arithmetic number, because the mean of its divisors is an integer number (1509637118220).

Almost surely, 2^{85198438343016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85198438343016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120770969457600).

85198438343016 is an abundant number, since it is smaller than the sum of its proper divisors (156343500572184).

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

85198438343016 is a wasteful number, since it uses less digits than its factorization.

85198438343016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212021 (or 212008 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 85198438343016 in words is "eighty-five trillion, one hundred ninety-eight billion, four hundred thirty-eight million, three hundred forty-three thousand, sixteen".