214018301952 has 1120 divisors, whose sum is σ = 822326991360. Its totient is φ = 54623600640.

The previous prime is 214018301897. The next prime is 214018302037. The reversal of 214018301952 is 259103810412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6903816177 + ... + 6903816207.

It is an arithmetic number, because the mean of its divisors is an integer number (734220528).

Almost surely, 2^214018301952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214018301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411163495680).

214018301952 is an abundant number, since it is smaller than the sum of its proper divisors (608308689408).

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

214018301952 is an frugal number, since it uses more digits than its factorization.

214018301952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 214018301952 in words is "two hundred fourteen billion, eighteen million, three hundred one thousand, nine hundred fifty-two".