8541645364224 has 1232 divisors, whose sum is σ = 30113796530176. Its totient is φ = 2370274099200.

The previous prime is 8541645364169. The next prime is 8541645364247. The reversal of 8541645364224 is 4224635461458.

8541645364224 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 64 + 536 + 42 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40481731479 + ... + 40481731689.

Almost surely, 2^{8541645364224} is an apocalyptic number.

8541645364224 is a gapful number since it is divisible by the number (84) 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 8541645364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056898265088).

8541645364224 is an abundant number, since it is smaller than the sum of its proper divisors (21572151165952).

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

8541645364224 is a wasteful number, since it uses less digits than its factorization.

8541645364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 411 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 8541645364224 in words is "eight trillion, five hundred forty-one billion, six hundred forty-five million, three hundred sixty-four thousand, two hundred twenty-four".