214151663424 has 168 divisors, whose sum is σ = 628073489088. Its totient is φ = 64263372800.

The previous prime is 214151663413. The next prime is 214151663459. The reversal of 214151663424 is 424366151412.

214151663424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192324 + ... + 1360124.

Almost surely, 2^214151663424 is an apocalyptic number.

214151663424 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 214151663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314036744544).

214151663424 is an abundant number, since it is smaller than the sum of its proper divisors (413921825664).

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

214151663424 is a wasteful number, since it uses less digits than its factorization.

214151663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167873 (or 167846 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 214151663424 in words is "two hundred fourteen billion, one hundred fifty-one million, six hundred sixty-three thousand, four hundred twenty-four".