8338373314560 has 384 divisors, whose sum is σ = 29789454240000. Its totient is φ = 2212377919488.

The previous prime is 8338373314549. The next prime is 8338373314567. The reversal of 8338373314560 is 654133738338.

8338373314560 is a `hidden beast` number, since 8 + 3 + 3 + 8 + 3 + 73 + 3 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8338373314497 and 8338373314506.

It is not an unprimeable number, because it can be changed into a prime (8338373314567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54943744 + ... + 55095296.

It is an arithmetic number, because the mean of its divisors is an integer number (77576703750).

Almost surely, 2^{8338373314560} is an apocalyptic number.

8338373314560 is a gapful number since it is divisible by the number (80) 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 8338373314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894727120000).

8338373314560 is an abundant number, since it is smaller than the sum of its proper divisors (21451080925440).

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

8338373314560 is a wasteful number, since it uses less digits than its factorization.

8338373314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151788 (or 151762 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 8338373314560 in words is "eight trillion, three hundred thirty-eight billion, three hundred seventy-three million, three hundred fourteen thousand, five hundred sixty".