86034574289664 has 5184 divisors, whose sum is σ = 374512084058112. Its totient is φ = 19120211066880.

The previous prime is 86034574289603. The next prime is 86034574289693. The reversal of 86034574289664 is 46698247543068.

86034574289664 is a `hidden beast` number, since 8 + 6 + 0 + 3 + 4 + 57 + 428 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a junction number, because it is equal to n+sod(n) for n = 86034574289592 and 86034574289601.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 677437592769 + ... + 677437592895.

Almost surely, 2^{86034574289664} is an apocalyptic number.

86034574289664 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 86034574289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187256042029056).

86034574289664 is an abundant number, since it is smaller than the sum of its proper divisors (288477509768448).

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

86034574289664 is a wasteful number, since it uses less digits than its factorization.

86034574289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 86034574289664 in words is "eighty-six trillion, thirty-four billion, five hundred seventy-four million, two hundred eighty-nine thousand, six hundred sixty-four".