2064629109312 has 672 divisors, whose sum is σ = 7872164112384. Its totient is φ = 500845363200.

The previous prime is 2064629109271. The next prime is 2064629109313. The reversal of 2064629109312 is 2139019264602.

2064629109312 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 629 + 1 + 0 + 9 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2064629109312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2064629109313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 98761453 + ... + 98782355.

Almost surely, 2^{2064629109312} is an apocalyptic number.

2064629109312 is a gapful number since it is divisible by the number (22) 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 2064629109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936082056192).

2064629109312 is an abundant number, since it is smaller than the sum of its proper divisors (5807535003072).

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

2064629109312 is a wasteful number, since it uses less digits than its factorization.

2064629109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087 (or 21074 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2064629109312 in words is "two trillion, sixty-four billion, six hundred twenty-nine million, one hundred nine thousand, three hundred twelve".