353198664000 has 2688 divisors, whose sum is σ = 1730243773440. Its totient is φ = 69672960000.

The previous prime is 353198663933. The next prime is 353198664047. The reversal of 353198664000 is 466891353.

353198664000 is a `hidden beast` number, since 3 + 53 + 198 + 6 + 6 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2339063925 + ... + 2339064075.

It is an arithmetic number, because the mean of its divisors is an integer number (643691880).

Almost surely, 2^353198664000 is an apocalyptic number.

353198664000 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 353198664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865121886720).

353198664000 is an abundant number, since it is smaller than the sum of its proper divisors (1377045109440).

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

353198664000 is a wasteful number, since it uses less digits than its factorization.

353198664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 353198664000 in words is "three hundred fifty-three billion, one hundred ninety-eight million, six hundred sixty-four thousand".