329011200000 has 1536 divisors, whose sum is σ = 1474443129600. Its totient is φ = 70778880000.

The previous prime is 329011199971. The next prime is 329011200013. The reversal of 329011200000 is 2110923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19353599992 + ... + 19353600008.

Almost surely, 2^329011200000 is an apocalyptic number.

329011200000 is a gapful number since it is divisible by the number (30) 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 329011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737221564800).

329011200000 is an abundant number, since it is smaller than the sum of its proper divisors (1145431929600).

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

329011200000 is an frugal number, since it uses more digits than its factorization.

329011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 329011200000 its reverse (2110923), we get a palindrome (329013310923).

The spelling of 329011200000 in words is "three hundred twenty-nine billion, eleven million, two hundred thousand".