8343950082048 has 1260 divisors, whose sum is σ = 29763857920860. Its totient is φ = 2330309689344.

The previous prime is 8343950082043. The next prime is 8343950082103. The reversal of 8343950082048 is 8402800593438.

8343950082048 is a `hidden beast` number, since 8 + 343 + 95 + 0 + 0 + 8 + 204 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2950259687424 + 5393690394624 = 1717632^2 + 2322432^2 .

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 = 8343950081985 and 8343950082003.

It is not an unprimeable number, because it can be changed into a prime (8343950082043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 31018401658 + ... + 31018401926.

It is an arithmetic number, because the mean of its divisors is an integer number (23622109461).

Almost surely, 2^{8343950082048} 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 8343950082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881928960430).

8343950082048 is an abundant number, since it is smaller than the sum of its proper divisors (21419907838812).

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

8343950082048 is an frugal number, since it uses more digits than its factorization.

8343950082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 8343950082048 in words is "eight trillion, three hundred forty-three billion, nine hundred fifty million, eighty-two thousand, forty-eight".