214700339500800 has 1296 divisors, whose sum is σ = 763366777336800. Its totient is φ = 53098899701760.

The previous prime is 214700339500739. The next prime is 214700339500817. The reversal of 214700339500800 is 8005933007412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131154757582 + ... + 131154759218.

Almost surely, 2^{214700339500800} is an apocalyptic number.

214700339500800 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 214700339500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381683388668400).

214700339500800 is an abundant number, since it is smaller than the sum of its proper divisors (548666437836000).

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

214700339500800 is a wasteful number, since it uses less digits than its factorization.

214700339500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 214700339500800 in words is "two hundred fourteen trillion, seven hundred billion, three hundred thirty-nine million, five hundred thousand, eight hundred".