8964954412416 has 224 divisors, whose sum is σ = 26814291640320. Its totient is φ = 2984218536960.

The previous prime is 8964954412411. The next prime is 8964954412433. The reversal of 8964954412416 is 6142144594698.

8964954412416 is a `hidden beast` number, since 8 + 9 + 6 + 49 + 544 + 1 + 2 + 41 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8964954412411) 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 27 ways as a sum of consecutive naturals, for example, 68332161 + ... + 68463231.

Almost surely, 2^{8964954412416} 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 8964954412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13407145820160).

8964954412416 is an abundant number, since it is smaller than the sum of its proper divisors (17849337227904).

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

8964954412416 is an equidigital number, since it uses as much as digits as its factorization.

8964954412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131836 (or 131809 counting only the distinct ones).

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

It can be divided in two parts, 896495 and 4412416, that added together give a triangular number (5308911 = T₃₂₅₈).

The spelling of 8964954412416 in words is "eight trillion, nine hundred sixty-four billion, nine hundred fifty-four million, four hundred twelve thousand, four hundred sixteen".