214285043123424 has 864 divisors, whose sum is σ = 811859244277536. Its totient is φ = 52955846737920.

The previous prime is 214285043123369. The next prime is 214285043123447. The reversal of 214285043123424 is 424321340582412.

214285043123424 is a `hidden beast` number, since 2 + 1 + 4 + 285 + 0 + 4 + 312 + 34 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 214285043123424.

It is a congruent number.

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, 707805364 + ... + 708108044.

It is an arithmetic number, because the mean of its divisors is an integer number (939651903099).

Almost surely, 2^{214285043123424} is an apocalyptic number.

214285043123424 is a gapful number since it is divisible by the number (24) 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 214285043123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405929622138768).

214285043123424 is an abundant number, since it is smaller than the sum of its proper divisors (597574201154112).

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

214285043123424 is a wasteful number, since it uses less digits than its factorization.

214285043123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302968 (or 302950 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 214285043123424 in words is "two hundred fourteen trillion, two hundred eighty-five billion, forty-three million, one hundred twenty-three thousand, four hundred twenty-four".