86356412213364 has 168 divisors, whose sum is σ = 229772794997760. Its totient is φ = 28380395129472.

The previous prime is 86356412213353. The next prime is 86356412213429. The reversal of 86356412213364 is 46331221465368.

86356412213364 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 6 + 412 + 213 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86356412213364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 571900827 + ... + 572051805.

It is an arithmetic number, because the mean of its divisors is an integer number (1367695208320).

Almost surely, 2^{86356412213364} 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 86356412213364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114886397498880).

86356412213364 is an abundant number, since it is smaller than the sum of its proper divisors (143416382784396).

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

86356412213364 is a wasteful number, since it uses less digits than its factorization.

86356412213364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153761 (or 153744 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 86356412213364 in words is "eighty-six trillion, three hundred fifty-six billion, four hundred twelve million, two hundred thirteen thousand, three hundred sixty-four".