8138493864 has 96 divisors (see below), whose sum is σ = 22534031520. Its totient is φ = 2652594048.

The previous prime is 8138493823. The next prime is 8138493911. The reversal of 8138493864 is 4683948318.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8138493864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168039 + ... + 1174985.

It is an arithmetic number, because the mean of its divisors is an integer number (234729495).

Almost surely, 2^8138493864 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 8138493864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267015760).

8138493864 is an abundant number, since it is smaller than the sum of its proper divisors (14395537656).

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

8138493864 is a wasteful number, since it uses less digits than its factorization.

8138493864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7312 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 8138493864 is about 90213.6013248557. The cubic root of 8138493864 is about 2011.4751894261.

The spelling of 8138493864 in words is "eight billion, one hundred thirty-eight million, four hundred ninety-three thousand, eight hundred sixty-four".