8945014680 has 384 divisors, whose sum is σ = 35171136000. Its totient is φ = 2043812736.

The previous prime is 8945014613. The next prime is 8945014697. The reversal of 8945014680 is 864105498.

8945014680 is a `hidden beast` number, since 89 + 4 + 501 + 4 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3332619 + ... + 3335301.

It is an arithmetic number, because the mean of its divisors is an integer number (91591500).

Almost surely, 2^8945014680 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 8945014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17585568000).

8945014680 is an abundant number, since it is smaller than the sum of its proper divisors (26226121320).

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

8945014680 is a wasteful number, since it uses less digits than its factorization.

8945014680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8945014680 is about 94578.0877370652. The cubic root of 8945014680 is about 2075.8390900709.

The spelling of 8945014680 in words is "eight billion, nine hundred forty-five million, fourteen thousand, six hundred eighty".