328001266230000 has 400 divisors, whose sum is σ = 1155171501792000. Its totient is φ = 79509797120000.

The previous prime is 328001266229933. The next prime is 328001266230007. The reversal of 328001266230000 is 32662100823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328001266230007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6375244276 + ... + 6375295724.

It is an arithmetic number, because the mean of its divisors is an integer number (2887928754480).

Almost surely, 2^{328001266230000} is an apocalyptic number.

328001266230000 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 328001266230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577585750896000).

328001266230000 is an abundant number, since it is smaller than the sum of its proper divisors (827170235562000).

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

328001266230000 is a wasteful number, since it uses less digits than its factorization.

328001266230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70810 (or 70789 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 328001266230000 in words is "three hundred twenty-eight trillion, one billion, two hundred sixty-six million, two hundred thirty thousand".