214861749748800 has 1008 divisors, whose sum is σ = 897968863838208. Its totient is φ = 43696503705600.

The previous prime is 214861749748799. The next prime is 214861749748829. The reversal of 214861749748800 is 8847947168412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 816314817 + ... + 816577983.

Almost surely, 2^{214861749748800} is an apocalyptic number.

214861749748800 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 214861749748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448984431919104).

214861749748800 is an abundant number, since it is smaller than the sum of its proper divisors (683107114089408).

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

214861749748800 is a wasteful number, since it uses less digits than its factorization.

214861749748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263304 (or 263242 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 214861749748800 in words is "two hundred fourteen trillion, eight hundred sixty-one billion, seven hundred forty-nine million, seven hundred forty-eight thousand, eight hundred".