86034034944 has 216 divisors, whose sum is σ = 291425115072. Its totient is φ = 24065372160.

The previous prime is 86034034939. The next prime is 86034034951. The reversal of 86034034944 is 44943043068.

It is a happy number.

86034034944 is a `hidden beast` number, since 8 + 603 + 4 + 0 + 34 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86034034944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198909 + ... + 460035.

Almost surely, 2^86034034944 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 86034034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145712557536).

86034034944 is an abundant number, since it is smaller than the sum of its proper divisors (205391080128).

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

86034034944 is a wasteful number, since it uses less digits than its factorization.

86034034944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261173 (or 261156 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 86034034944 in words is "eighty-six billion, thirty-four million, thirty-four thousand, nine hundred forty-four".