8014381056 has 420 divisors, whose sum is σ = 26645862264. Its totient is φ = 2388787200.

The previous prime is 8014381031. The next prime is 8014381057. The reversal of 8014381056 is 6501834108.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8014381056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8014381057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 131383266 + ... + 131383326.

Almost surely, 2^8014381056 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 8014381056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322931132).

8014381056 is an abundant number, since it is smaller than the sum of its proper divisors (18631481208).

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

8014381056 is an frugal number, since it uses more digits than its factorization.

8014381056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8014381056 is about 89523.0755503853. The cubic root of 8014381056 is about 2001.1977039428.

The spelling of 8014381056 in words is "eight billion, fourteen million, three hundred eighty-one thousand, fifty-six".