214273474419000 has 256 divisors, whose sum is σ = 677067955200000. Its totient is φ = 56410284902400.

The previous prime is 214273474418957. The next prime is 214273474419007. The reversal of 214273474419000 is 914474372412.

It is a happy number.

214273474419000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214273474419000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214273474419007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2491538001 + ... + 2491623999.

It is an arithmetic number, because the mean of its divisors is an integer number (2644796700000).

Almost surely, 2^{214273474419000} is an apocalyptic number.

214273474419000 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 214273474419000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338533977600000).

214273474419000 is an abundant number, since it is smaller than the sum of its proper divisors (462794480781000).

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

214273474419000 is a wasteful number, since it uses less digits than its factorization.

214273474419000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96615 (or 96601 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 214273474419000 in words is "two hundred fourteen trillion, two hundred seventy-three billion, four hundred seventy-four million, four hundred nineteen thousand".