214331745841920 has 2592 divisors, whose sum is σ = 921052357295616. Its totient is φ = 47553188659200.

The previous prime is 214331745841909. The next prime is 214331745841921. The reversal of 214331745841920 is 29148547133412.

214331745841920 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 3 + 174 + 58 + 419 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (214331745841921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 141847613965 + ... + 141847615475.

It is an arithmetic number, because the mean of its divisors is an integer number (355344273648).

Almost surely, 2^{214331745841920} is an apocalyptic number.

214331745841920 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 214331745841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460526178647808).

214331745841920 is an abundant number, since it is smaller than the sum of its proper divisors (706720611453696).

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

214331745841920 is a wasteful number, since it uses less digits than its factorization.

214331745841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 214331745841920 in words is "two hundred fourteen trillion, three hundred thirty-one billion, seven hundred forty-five million, eight hundred forty-one thousand, nine hundred twenty".