214499450880 has 1008 divisors, whose sum is σ = 881150349456. Its totient is φ = 47846522880.

The previous prime is 214499450873. The next prime is 214499450911. The reversal of 214499450880 is 88054994412.

It is a happy number.

214499450880 is a `hidden beast` number, since 2 + 1 + 4 + 49 + 94 + 508 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 685301604 + ... + 685301916.

Almost surely, 2^214499450880 is an apocalyptic number.

214499450880 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 214499450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440575174728).

214499450880 is an abundant number, since it is smaller than the sum of its proper divisors (666650898576).

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

214499450880 is a wasteful number, since it uses less digits than its factorization.

214499450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 214499450880 in words is "two hundred fourteen billion, four hundred ninety-nine million, four hundred fifty thousand, eight hundred eighty".