85727149146 has 96 divisors (see below), whose sum is σ = 193826400768. Its totient is φ = 28397582640.

The previous prime is 85727149121. The next prime is 85727149181. The reversal of 85727149146 is 64194172758.

85727149146 is a `hidden beast` number, since 85 + 7 + 2 + 71 + 491 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85727149092 and 85727149101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103659985 + ... + 103660811.

It is an arithmetic number, because the mean of its divisors is an integer number (2019025008).

Almost surely, 2^85727149146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85727149146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96913200384).

85727149146 is an abundant number, since it is smaller than the sum of its proper divisors (108099251622).

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

85727149146 is a wasteful number, since it uses less digits than its factorization.

85727149146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 85727149146 in words is "eighty-five billion, seven hundred twenty-seven million, one hundred forty-nine thousand, one hundred forty-six".