85464527046444 has 288 divisors, whose sum is σ = 278469696960000. Its totient is φ = 22467613230720.

The previous prime is 85464527046343. The next prime is 85464527046467. The reversal of 85464527046444 is 44464072546458.

85464527046444 is a `hidden beast` number, since 8 + 5 + 4 + 6 + 4 + 527 + 0 + 4 + 64 + 44 = 666.

It is a super-2 number, since 2×85464527046444² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 19398307 + ... + 23392805.

It is an arithmetic number, because the mean of its divisors is an integer number (966908670000).

Almost surely, 2^{85464527046444} is an apocalyptic number.

85464527046444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85464527046444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139234848480000).

85464527046444 is an abundant number, since it is smaller than the sum of its proper divisors (193005169913556).

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

85464527046444 is a wasteful number, since it uses less digits than its factorization.

85464527046444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994850 (or 3994835 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 63.

The spelling of 85464527046444 in words is "eighty-five trillion, four hundred sixty-four billion, five hundred twenty-seven million, forty-six thousand, four hundred forty-four".