8214147324 has 144 divisors (see below), whose sum is σ = 21794572800. Its totient is φ = 2606358528.

The previous prime is 8214147323. The next prime is 8214147341. The reversal of 8214147324 is 4237414128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214147323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10681212 + ... + 10681980.

It is an arithmetic number, because the mean of its divisors is an integer number (151351200).

Almost surely, 2^8214147324 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 8214147324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10897286400).

8214147324 is an abundant number, since it is smaller than the sum of its proper divisors (13580425476).

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

8214147324 is a wasteful number, since it uses less digits than its factorization.

8214147324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 987 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8214147324 is about 90631.9332465109. The cubic root of 8214147324 is about 2017.6887039903.

The spelling of 8214147324 in words is "eight billion, two hundred fourteen million, one hundred forty-seven thousand, three hundred twenty-four".