85464191232 has 810 divisors, whose sum is σ = 314211415518. Its totient is φ = 23033880576.

The previous prime is 85464191207. The next prime is 85464191243. The reversal of 85464191232 is 23219146458.

85464191232 is a `hidden beast` number, since 85 + 464 + 1 + 91 + 23 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61989048576 + 23475142656 = 248976^2 + 153216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 366798988 + ... + 366799220.

Almost surely, 2^85464191232 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 85464191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157105707759).

85464191232 is an abundant number, since it is smaller than the sum of its proper divisors (228747224286).

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

85464191232 is a wasteful number, since it uses less digits than its factorization.

85464191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 264 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 85464191232 in words is "eighty-five billion, four hundred sixty-four million, one hundred ninety-one thousand, two hundred thirty-two".