86466789866496 has 1188 divisors, whose sum is σ = 274135881710376. Its totient is φ = 24083075727360.

The previous prime is 86466789866491. The next prime is 86466789866519. The reversal of 86466789866496 is 69466898766468.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86466789866491) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1094516327385 + ... + 1094516327463.

Almost surely, 2^{86466789866496} 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 86466789866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137067940855188).

86466789866496 is an abundant number, since it is smaller than the sum of its proper divisors (187669091843880).

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

86466789866496 is a wasteful number, since it uses less digits than its factorization.

86466789866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 216710774784, while the sum is 93.

The spelling of 86466789866496 in words is "eighty-six trillion, four hundred sixty-six billion, seven hundred eighty-nine million, eight hundred sixty-six thousand, four hundred ninety-six".