8218455146496 has 1152 divisors, whose sum is σ = 29057963151360. Its totient is φ = 2275463135232.

The previous prime is 8218455146491. The next prime is 8218455146557. The reversal of 8218455146496 is 6946415548128.

8218455146496 is a `hidden beast` number, since 8 + 2 + 1 + 84 + 5 + 5 + 1 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218455146491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64712245185 + ... + 64712245311.

Almost surely, 2^{8218455146496} is an apocalyptic number.

8218455146496 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 8218455146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528981575680).

8218455146496 is an abundant number, since it is smaller than the sum of its proper divisors (20839508004864).

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

8218455146496 is an frugal number, since it uses more digits than its factorization.

8218455146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 182 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 8218455146496 in words is "eight trillion, two hundred eighteen billion, four hundred fifty-five million, one hundred forty-six thousand, four hundred ninety-six".