2005463628864 has 168 divisors, whose sum is σ = 5880323324928. Its totient is φ = 653181511680.

The previous prime is 2005463628743. The next prime is 2005463628881. The reversal of 2005463628864 is 4688263645002.

It is a happy number.

2005463628864 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 4 + 6 + 3 + 628 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2005463628864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16371684 + ... + 16493724.

Almost surely, 2^{2005463628864} is an apocalyptic number.

2005463628864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005463628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940161662464).

2005463628864 is an abundant number, since it is smaller than the sum of its proper divisors (3874859696064).

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

2005463628864 is a wasteful number, since it uses less digits than its factorization.

2005463628864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122713 (or 122700 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 2005463628864 in words is "two trillion, five billion, four hundred sixty-three million, six hundred twenty-eight thousand, eight hundred sixty-four".