86494449468 has 96 divisors (see below), whose sum is σ = 232465959936. Its totient is φ = 24518932992.

The previous prime is 86494449449. The next prime is 86494449469.

86494449468 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86494449399 and 86494449408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86494449469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303680 + ... + 7315512.

It is an arithmetic number, because the mean of its divisors is an integer number (2421520416).

Almost surely, 2^86494449468 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 86494449468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116232979968).

86494449468 is an abundant number, since it is smaller than the sum of its proper divisors (145971510468).

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

86494449468 is a wasteful number, since it uses less digits than its factorization.

86494449468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12523 (or 12521 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 86494449468 in words is "eighty-six billion, four hundred ninety-four million, four hundred forty-nine thousand, four hundred sixty-eight".