85243794048 has 384 divisors, whose sum is σ = 296477475840. Its totient is φ = 22992076800.

The previous prime is 85243794001. The next prime is 85243794073. The reversal of 85243794048 is 84049734258.

85243794048 is a `hidden beast` number, since 8 + 524 + 3 + 79 + 4 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 85243793985 and 85243794003.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10245186 + ... + 10253502.

It is an arithmetic number, because the mean of its divisors is an integer number (772076760).

Almost surely, 2^85243794048 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 85243794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148238737920).

85243794048 is an abundant number, since it is smaller than the sum of its proper divisors (211233681792).

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

85243794048 is a wasteful number, since it uses less digits than its factorization.

85243794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8416 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 85243794048 in words is "eighty-five billion, two hundred forty-three million, seven hundred ninety-four thousand, forty-eight".