2000664147456 has 560 divisors, whose sum is σ = 6794438721840. Its totient is φ = 583162675200.

The previous prime is 2000664147451. The next prime is 2000664147467. The reversal of 2000664147456 is 6547414660002.

It is a super-2 number, since 2×2000664147456² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000664147451) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 92181406 + ... + 92203106.

It is an arithmetic number, because the mean of its divisors is an integer number (12132926289).

Almost surely, 2^{2000664147456} is an apocalyptic number.

2000664147456 is a gapful number since it is divisible by the number (26) 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 2000664147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397219360920).

2000664147456 is an abundant number, since it is smaller than the sum of its proper divisors (4793774574384).

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

2000664147456 is an equidigital number, since it uses as much as digits as its factorization.

2000664147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21769 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2000664147456 in words is "two trillion, six hundred sixty-four million, one hundred forty-seven thousand, four hundred fifty-six".