8649142419456 has 960 divisors, whose sum is σ = 32984342200320. Its totient is φ = 2173796352000.

The previous prime is 8649142419443. The next prime is 8649142419479. The reversal of 8649142419456 is 6549142419468.

8649142419456 is a `hidden beast` number, since 8 + 6 + 491 + 4 + 2 + 4 + 1 + 94 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8649142419393 and 8649142419402.

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 63 ways as a sum of consecutive naturals, for example, 1055928321 + ... + 1055936511.

It is an arithmetic number, because the mean of its divisors is an integer number (34358689792).

Almost surely, 2^{8649142419456} 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 8649142419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16492171100160).

8649142419456 is an abundant number, since it is smaller than the sum of its proper divisors (24335199780864).

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

8649142419456 is a wasteful number, since it uses less digits than its factorization.

8649142419456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8245 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 8649142419456 in words is "eight trillion, six hundred forty-nine billion, one hundred forty-two million, four hundred nineteen thousand, four hundred fifty-six".