86322216139236 has 768 divisors, whose sum is σ = 305894640844800. Its totient is φ = 20376009561600.

The previous prime is 86322216139223. The next prime is 86322216139249. The reversal of 86322216139236 is 63293161222368.

86322216139236 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 2 + 216 + 1 + 392 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (86322216139223) and next prime (86322216139249).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 414972525 + ... + 415180491.

It is an arithmetic number, because the mean of its divisors is an integer number (398300313600).

Almost surely, 2^{86322216139236} 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 86322216139236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152947320422400).

86322216139236 is an abundant number, since it is smaller than the sum of its proper divisors (219572424705564).

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

86322216139236 is a wasteful number, since it uses less digits than its factorization.

86322216139236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208125 (or 208117 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 86322216139236 in words is "eighty-six trillion, three hundred twenty-two billion, two hundred sixteen million, one hundred thirty-nine thousand, two hundred thirty-six".