85438113408 has 96 divisors (see below), whose sum is σ = 245914271460. Its totient is φ = 28472745984.

The previous prime is 85438113401. The next prime is 85438113413. The reversal of 85438113408 is 80431183458.

85438113408 is a `hidden beast` number, since 85 + 438 + 1 + 134 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84513466944 + 924646464 = 290712^2 + 30408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85438113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9346216 + ... + 9355352.

Almost surely, 2^85438113408 is an apocalyptic number.

It is an amenable number.

85438113408 is an abundant number, since it is smaller than the sum of its proper divisors (160476158052).

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

85438113408 is a wasteful number, since it uses less digits than its factorization.

85438113408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17274 (or 17259 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85438113408 in words is "eighty-five billion, four hundred thirty-eight million, one hundred thirteen thousand, four hundred eight".