8754492105216 has 480 divisors, whose sum is σ = 30640793863680. Its totient is φ = 2369809612800.

The previous prime is 8754492105209. The next prime is 8754492105223. The reversal of 8754492105216 is 6125012944578.

8754492105216 is a `hidden beast` number, since 8 + 7 + 54 + 49 + 21 + 0 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (8754492105209) and next prime (8754492105223).

It is a super-2 number, since 2×8754492105216² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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, 20212980 + ... + 20641548.

It is an arithmetic number, because the mean of its divisors is an integer number (63834987216).

Almost surely, 2^{8754492105216} 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 8754492105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15320396931840).

8754492105216 is an abundant number, since it is smaller than the sum of its proper divisors (21886301758464).

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

8754492105216 is a wasteful number, since it uses less digits than its factorization.

8754492105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428648 (or 428629 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 8754492105216 in words is "eight trillion, seven hundred fifty-four billion, four hundred ninety-two million, one hundred five thousand, two hundred sixteen".