8228649645216 has 1152 divisors, whose sum is σ = 32617572728832. Its totient is φ = 1898339328000.

The previous prime is 8228649645211. The next prime is 8228649645253. The reversal of 8228649645216 is 6125469468228.

8228649645216 is a `hidden beast` number, since 8 + 2 + 2 + 8 + 6 + 49 + 64 + 521 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8228649645211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1617581425 + ... + 1617586511.

It is an arithmetic number, because the mean of its divisors is an integer number (28313865216).

Almost surely, 2^{8228649645216} 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 8228649645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308786364416).

8228649645216 is an abundant number, since it is smaller than the sum of its proper divisors (24388923083616).

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

8228649645216 is a wasteful number, since it uses less digits than its factorization.

8228649645216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5335 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 8228649645216 in words is "eight trillion, two hundred twenty-eight billion, six hundred forty-nine million, six hundred forty-five thousand, two hundred sixteen".