8906461614464 has 128 divisors (see below), whose sum is σ = 18444092472000. Its totient is φ = 4278890004480.

The previous prime is 8906461614317. The next prime is 8906461614481. The reversal of 8906461614464 is 4644161646098.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 744743717 + ... + 744755675.

Almost surely, 2^{8906461614464} 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 8906461614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222046236000).

8906461614464 is an abundant number, since it is smaller than the sum of its proper divisors (9537630857536).

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

8906461614464 is a wasteful number, since it uses less digits than its factorization.

8906461614464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 12944 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 59.

The spelling of 8906461614464 in words is "eight trillion, nine hundred six billion, four hundred sixty-one million, six hundred fourteen thousand, four hundred sixty-four".