8145226214334 has 96 divisors (see below), whose sum is σ = 19627761628800. Its totient is φ = 2420178770880.

The previous prime is 8145226214329. The next prime is 8145226214407. The reversal of 8145226214334 is 4334126225418.

8145226214334 is a `hidden beast` number, since 8 + 1 + 4 + 52 + 262 + 1 + 4 + 334 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8145226214334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16750077 + ... + 17229495.

It is an arithmetic number, because the mean of its divisors is an integer number (204455850300).

Almost surely, 2^{8145226214334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145226214334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813880814400).

8145226214334 is an abundant number, since it is smaller than the sum of its proper divisors (11482535414466).

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

8145226214334 is a wasteful number, since it uses less digits than its factorization.

8145226214334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481110 (or 481107 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 8145226214334 in words is "eight trillion, one hundred forty-five billion, two hundred twenty-six million, two hundred fourteen thousand, three hundred thirty-four".