85904649468 has 144 divisors (see below), whose sum is σ = 254134258560. Its totient is φ = 25133976000.

The previous prime is 85904649431. The next prime is 85904649487. The reversal of 85904649468 is 86494640958.

85904649468 is a `hidden beast` number, since 8 + 5 + 90 + 46 + 49 + 468 = 666.

It is a congruent number.

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, 171543 + ... + 448593.

It is an arithmetic number, because the mean of its divisors is an integer number (1764821240).

Almost surely, 2^85904649468 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 85904649468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127067129280).

85904649468 is an abundant number, since it is smaller than the sum of its proper divisors (168229609092).

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

85904649468 is a wasteful number, since it uses less digits than its factorization.

85904649468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277110 (or 277096 counting only the distinct ones).

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

The spelling of 85904649468 in words is "eighty-five billion, nine hundred four million, six hundred forty-nine thousand, four hundred sixty-eight".