8214714144 has 864 divisors, whose sum is σ = 32229550080. Its totient is φ = 2008820736.

The previous prime is 8214714133. The next prime is 8214714197. The reversal of 8214714144 is 4414174128.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 8214714099 and 8214714108.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174781129 + ... + 174781175.

It is an arithmetic number, because the mean of its divisors is an integer number (37302720).

Almost surely, 2^8214714144 is an apocalyptic number.

8214714144 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 8214714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16114775040).

8214714144 is an abundant number, since it is smaller than the sum of its proper divisors (24014835936).

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

8214714144 is a wasteful number, since it uses less digits than its factorization.

8214714144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 8214714144 is about 90635.0602360919. The cubic root of 8214714144 is about 2017.7351133522.

The spelling of 8214714144 in words is "eight billion, two hundred fourteen million, seven hundred fourteen thousand, one hundred forty-four".