85849934066 has 64 divisors (see below), whose sum is σ = 145099231200. Its totient is φ = 37821966336.

The previous prime is 85849934063. The next prime is 85849934069. The reversal of 85849934066 is 66043994858.

It is an interprime number because it is at equal distance from previous prime (85849934063) and next prime (85849934069).

It can be written as a sum of positive squares in 16 ways, for example, as 273207841 + 85576726225 = 16529^2 + 292535^2 .

It is a super-2 number, since 2×85849934066² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85849934063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50707916 + ... + 50709608.

Almost surely, 2^85849934066 is an apocalyptic number.

85849934066 is a deficient number, since it is larger than the sum of its proper divisors (59249297134).

85849934066 is a wasteful number, since it uses less digits than its factorization.

85849934066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463.

The product of its (nonzero) digits is 44789760, while the sum is 62.

The spelling of 85849934066 in words is "eighty-five billion, eight hundred forty-nine million, nine hundred thirty-four thousand, sixty-six".