216114007064200 has 96 divisors (see below), whose sum is σ = 579931392461760. Its totient is φ = 73362604896000.

The previous prime is 216114007064173. The next prime is 216114007064233. The reversal of 216114007064200 is 2460700411612.

It is a super-3 number, since 3×216114007064200³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764052402 + ... + 764335201.

It is an arithmetic number, because the mean of its divisors is an integer number (6040952004810).

Almost surely, 2^{216114007064200} is an apocalyptic number.

216114007064200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216114007064200 is an abundant number, since it is smaller than the sum of its proper divisors (363817385397560).

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

216114007064200 is a wasteful number, since it uses less digits than its factorization.

216114007064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528387727 (or 1528387718 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 216114007064200 its reverse (2460700411612), we get a palindrome (218574707475812).

The spelling of 216114007064200 in words is "two hundred sixteen trillion, one hundred fourteen billion, seven million, sixty-four thousand, two hundred".