2014806766896 has 480 divisors, whose sum is σ = 7299825781248. Its totient is φ = 522649221120.

The previous prime is 2014806766877. The next prime is 2014806766897. The reversal of 2014806766896 is 6986676084102.

2014806766896 is a `hidden beast` number, since 2 + 0 + 1 + 480 + 6 + 7 + 6 + 68 + 96 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2014806766897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256561306 + ... + 256569158.

Almost surely, 2^{2014806766896} 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 2014806766896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649912890624).

2014806766896 is an abundant number, since it is smaller than the sum of its proper divisors (5285019014352).

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

2014806766896 is a wasteful number, since it uses less digits than its factorization.

2014806766896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8733 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2014806766896 in words is "two trillion, fourteen billion, eight hundred six million, seven hundred sixty-six thousand, eight hundred ninety-six".