1643234608512 has 512 divisors, whose sum is σ = 5756697216000. Its totient is φ = 451651977216.

The previous prime is 1643234608511. The next prime is 1643234608529. The reversal of 1643234608512 is 2158064323461.

1643234608512 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 2 + 34 + 608 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×1643234608512² (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 (1643234608511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79653943 + ... + 79674569.

It is an arithmetic number, because the mean of its divisors is an integer number (11243549250).

Almost surely, 2^{1643234608512} is an apocalyptic number.

1643234608512 is a gapful number since it is divisible by the number (12) 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 1643234608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878348608000).

1643234608512 is an abundant number, since it is smaller than the sum of its proper divisors (4113462607488).

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

1643234608512 is a wasteful number, since it uses less digits than its factorization.

1643234608512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20783 (or 20765 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1643234608512 in words is "one trillion, six hundred forty-three billion, two hundred thirty-four million, six hundred eight thousand, five hundred twelve".