8193214318320 has 80 divisors (see below), whose sum is σ = 28221071548320. Its totient is φ = 2184857150976.

The previous prime is 8193214318307. The next prime is 8193214318363. The reversal of 8193214318320 is 238134123918.

It is a happy number.

8193214318320 is a `hidden beast` number, since 8 + 1 + 9 + 3 + 2 + 1 + 4 + 318 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896575229 + ... + 1896579548.

It is an arithmetic number, because the mean of its divisors is an integer number (352763394354).

Almost surely, 2^{8193214318320} is an apocalyptic number.

8193214318320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8193214318320 is an abundant number, since it is smaller than the sum of its proper divisors (20027857230000).

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

8193214318320 is a wasteful number, since it uses less digits than its factorization.

8193214318320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793154799 (or 3793154787 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 8193214318320 in words is "eight trillion, one hundred ninety-three billion, two hundred fourteen million, three hundred eighteen thousand, three hundred twenty".