214055245600 has 216 divisors, whose sum is σ = 609575984640. Its totient is φ = 73185477120.

The previous prime is 214055245597. The next prime is 214055245601. The reversal of 214055245600 is 6542550412.

It is not an unprimeable number, because it can be changed into a prime (214055245601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14378961 + ... + 14393839.

It is an arithmetic number, because the mean of its divisors is an integer number (2822111040).

Almost surely, 2^214055245600 is an apocalyptic number.

214055245600 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 214055245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304787992320).

214055245600 is an abundant number, since it is smaller than the sum of its proper divisors (395520739040).

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

214055245600 is a wasteful number, since it uses less digits than its factorization.

214055245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15260 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 214055245600 in words is "two hundred fourteen billion, fifty-five million, two hundred forty-five thousand, six hundred".