86451122464 has 96 divisors (see below), whose sum is σ = 195962167296. Its totient is φ = 36775507200.

The previous prime is 86451122437. The next prime is 86451122473. The reversal of 86451122464 is 46422115468.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86451122464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36770889 + ... + 36773239.

It is an arithmetic number, because the mean of its divisors is an integer number (2041272576).

Almost surely, 2^86451122464 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 86451122464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97981083648).

86451122464 is an abundant number, since it is smaller than the sum of its proper divisors (109511044832).

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

86451122464 is a wasteful number, since it uses less digits than its factorization.

86451122464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3510 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The spelling of 86451122464 in words is "eighty-six billion, four hundred fifty-one million, one hundred twenty-two thousand, four hundred sixty-four".