8454224893968 has 240 divisors, whose sum is σ = 29058022131840. Its totient is φ = 2239473291264.

The previous prime is 8454224893963. The next prime is 8454224893969. The reversal of 8454224893968 is 8693984224548.

8454224893968 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 224 + 8 + 9 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8454224893896 and 8454224893905.

It is not an unprimeable number, because it can be changed into a prime (8454224893963) 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 47 ways as a sum of consecutive naturals, for example, 2533683 + ... + 4829906.

It is an arithmetic number, because the mean of its divisors is an integer number (121075092216).

Almost surely, 2^{8454224893968} is an apocalyptic number.

It is an amenable number.

8454224893968 is an abundant number, since it is smaller than the sum of its proper divisors (20603797237872).

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

8454224893968 is a wasteful number, since it uses less digits than its factorization.

8454224893968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7363694 (or 7363685 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 8454224893968 in words is "eight trillion, four hundred fifty-four billion, two hundred twenty-four million, eight hundred ninety-three thousand, nine hundred sixty-eight".