214575447424000 has 352 divisors, whose sum is σ = 576748784941056. Its totient is φ = 79193279692800.

The previous prime is 214575447423991. The next prime is 214575447424001. The reversal of 214575447424000 is 424744575412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214575447424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3981925057 + ... + 3981978943.

Almost surely, 2^{214575447424000} is an apocalyptic number.

214575447424000 is a gapful number since it is divisible by the number (20) 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 214575447424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288374392470528).

214575447424000 is an abundant number, since it is smaller than the sum of its proper divisors (362173337517056).

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

214575447424000 is a wasteful number, since it uses less digits than its factorization.

214575447424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56328 (or 56300 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 49.

The spelling of 214575447424000 in words is "two hundred fourteen trillion, five hundred seventy-five billion, four hundred forty-seven million, four hundred twenty-four thousand".