328194691200 has 1152 divisors, whose sum is σ = 1305197712000. Its totient is φ = 78148730880.

The previous prime is 328194691163. The next prime is 328194691243. The reversal of 328194691200 is 2196491823.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1120118254 + ... + 1120118546.

It is an arithmetic number, because the mean of its divisors is an integer number (1132984125).

Almost surely, 2^328194691200 is an apocalyptic number.

328194691200 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 328194691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652598856000).

328194691200 is an abundant number, since it is smaller than the sum of its proper divisors (977003020800).

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

328194691200 is a wasteful number, since it uses less digits than its factorization.

328194691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 328194691200 in words is "three hundred twenty-eight billion, one hundred ninety-four million, six hundred ninety-one thousand, two hundred".