8231364460224 has 168 divisors, whose sum is σ = 23835198590112. Its totient is φ = 2715733647360.

The previous prime is 8231364460091. The next prime is 8231364460273. The reversal of 8231364460224 is 4220644631328.

8231364460224 is a `hidden beast` number, since 8 + 2 + 3 + 1 + 36 + 4 + 4 + 602 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8231364460224.

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, 117018984 + ... + 117089304.

It is an arithmetic number, because the mean of its divisors is an integer number (141876182084).

Almost surely, 2^{8231364460224} 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 8231364460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917599295056).

8231364460224 is an abundant number, since it is smaller than the sum of its proper divisors (15603834129888).

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

8231364460224 is a wasteful number, since it uses less digits than its factorization.

8231364460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72415 (or 72402 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 8231364460224 in words is "eight trillion, two hundred thirty-one billion, three hundred sixty-four million, four hundred sixty thousand, two hundred twenty-four".