326143446220800 has 1296 divisors, whose sum is σ = 1261253087011008. Its totient is φ = 80085830860800.

The previous prime is 326143446220777. The next prime is 326143446220807. The reversal of 326143446220800 is 8022644341623.

326143446220800 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 4 + 344 + 6 + 220 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (326143446220807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215846092045 + ... + 215846093555.

It is an arithmetic number, because the mean of its divisors is an integer number (973189110348).

Almost surely, 2^{326143446220800} is an apocalyptic number.

326143446220800 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 326143446220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630626543505504).

326143446220800 is an abundant number, since it is smaller than the sum of its proper divisors (935109640790208).

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

326143446220800 is a wasteful number, since it uses less digits than its factorization.

326143446220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 326143446220800 in words is "three hundred twenty-six trillion, one hundred forty-three billion, four hundred forty-six million, two hundred twenty thousand, eight hundred".