85747044434688 has 1728 divisors, whose sum is σ = 326352888960000. Its totient is φ = 21997111099392.

The previous prime is 85747044434683. The next prime is 85747044434699. The reversal of 85747044434688 is 88643444074758.

It is a happy number.

85747044434688 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 70 + 44 + 434 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85747044434683) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24506155563 + ... + 24506159061.

Almost surely, 2^{85747044434688} 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 85747044434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163176444480000).

85747044434688 is an abundant number, since it is smaller than the sum of its proper divisors (240605844525312).

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

85747044434688 is an equidigital number, since it uses as much as digits as its factorization.

85747044434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 2312110080, while the sum is 72.

The spelling of 85747044434688 in words is "eighty-five trillion, seven hundred forty-seven billion, forty-four million, four hundred thirty-four thousand, six hundred eighty-eight".