86814309216 has 96 divisors (see below), whose sum is σ = 235758218976. Its totient is φ = 27952640000.

The previous prime is 86814309181. The next prime is 86814309227. The reversal of 86814309216 is 61290341868.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288346 + ... + 506726.

It is an arithmetic number, because the mean of its divisors is an integer number (2455814781).

Almost surely, 2^86814309216 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 86814309216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117879109488).

86814309216 is an abundant number, since it is smaller than the sum of its proper divisors (148943909760).

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

86814309216 is a wasteful number, since it uses less digits than its factorization.

86814309216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218536 (or 218528 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 86814309216 in words is "eighty-six billion, eight hundred fourteen million, three hundred nine thousand, two hundred sixteen".