8050731974656 has 272 divisors, whose sum is σ = 19216057168000. Its totient is φ = 3369669230592.

The previous prime is 8050731974653. The next prime is 8050731974689. The reversal of 8050731974656 is 6564791370508.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8050731974594 and 8050731974603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050731974653) 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 15 ways as a sum of consecutive naturals, for example, 966586300 + ... + 966594628.

It is an arithmetic number, because the mean of its divisors is an integer number (70647269000).

Almost surely, 2^{8050731974656} is an apocalyptic number.

8050731974656 is a gapful number since it is divisible by the number (86) 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 8050731974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9608028584000).

8050731974656 is an abundant number, since it is smaller than the sum of its proper divisors (11165325193344).

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

8050731974656 is an frugal number, since it uses more digits than its factorization.

8050731974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 8050731974656 in words is "eight trillion, fifty billion, seven hundred thirty-one million, nine hundred seventy-four thousand, six hundred fifty-six".