354445445200 has 180 divisors, whose sum is σ = 1069723234720. Its totient is φ = 110476396800.

The previous prime is 354445445191. The next prime is 354445445201. The reversal of 354445445200 is 2544544453.

It is a super-3 number, since 3×354445445200³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354445445201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 184290 + ... + 861889.

Almost surely, 2^354445445200 is an apocalyptic number.

It is an amenable number.

354445445200 is an abundant number, since it is smaller than the sum of its proper divisors (715277789520).

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

354445445200 is a wasteful number, since it uses less digits than its factorization.

354445445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046226 (or 1046204 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 354445445200 its reverse (2544544453), we get a palindrome (356989989653).

The spelling of 354445445200 in words is "three hundred fifty-four billion, four hundred forty-five million, four hundred forty-five thousand, two hundred".