85461623104 has 112 divisors (see below), whose sum is σ = 200068013376. Its totient is φ = 35708313600.

The previous prime is 85461623077. The next prime is 85461623131. The reversal of 85461623104 is 40132616458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85461623077) and next prime (85461623131).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186259 + ... + 2225005.

It is an arithmetic number, because the mean of its divisors is an integer number (1786321548).

Almost surely, 2^85461623104 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 85461623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100034006688).

85461623104 is an abundant number, since it is smaller than the sum of its proper divisors (114606390272).

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

85461623104 is a wasteful number, since it uses less digits than its factorization.

85461623104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39024 (or 39014 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 85461623104 in words is "eighty-five billion, four hundred sixty-one million, six hundred twenty-three thousand, one hundred four".