8223351063840 has 1008 divisors, whose sum is σ = 32258203307064. Its totient is φ = 1978522951680.

The previous prime is 8223351063709. The next prime is 8223351063847. The reversal of 8223351063840 is 483601533228.

8223351063840 is a `hidden beast` number, since 8 + 2 + 2 + 3 + 3 + 5 + 1 + 0 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5219049906576 + 3004301157264 = 2284524^2 + 1733292^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8223351063847) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1933539154 + ... + 1933543406.

Almost surely, 2^{8223351063840} is an apocalyptic number.

8223351063840 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 8223351063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16129101653532).

8223351063840 is an abundant number, since it is smaller than the sum of its proper divisors (24034852243224).

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

8223351063840 is a wasteful number, since it uses less digits than its factorization.

8223351063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 8223351063840 in words is "eight trillion, two hundred twenty-three billion, three hundred fifty-one million, sixty-three thousand, eight hundred forty".