214539248000 has 384 divisors, whose sum is σ = 676918438560. Its totient is φ = 66866688000.

The previous prime is 214539247999. The next prime is 214539248003. The reversal of 214539248000 is 842935412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214539248003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8611562 + ... + 8636438.

Almost surely, 2^214539248000 is an apocalyptic number.

214539248000 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 214539248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338459219280).

214539248000 is an abundant number, since it is smaller than the sum of its proper divisors (462379190560).

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

214539248000 is a wasteful number, since it uses less digits than its factorization.

214539248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24931 (or 24902 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 214539248000 in words is "two hundred fourteen billion, five hundred thirty-nine million, two hundred forty-eight thousand".