8214468864 has 288 divisors, whose sum is σ = 26120161536. Its totient is φ = 2242805760.

The previous prime is 8214468841. The next prime is 8214468893. The reversal of 8214468864 is 4688644128.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12133294 + ... + 12133970.

Almost surely, 2^8214468864 is an apocalyptic number.

8214468864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214468864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13060080768).

8214468864 is an abundant number, since it is smaller than the sum of its proper divisors (17905692672).

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

8214468864 is a wasteful number, since it uses less digits than its factorization.

8214468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 8214468864 is about 90633.7071072347. The cubic root of 8214468864 is about 2017.7150308926.

The spelling of 8214468864 in words is "eight billion, two hundred fourteen million, four hundred sixty-eight thousand, eight hundred sixty-four".