216234170406144 has 108 divisors (see below), whose sum is σ = 680134277545632. Its totient is φ = 65525506176000.

The previous prime is 216234170406029. The next prime is 216234170406187. The reversal of 216234170406144 is 441604071432612.

216234170406144 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 34 + 1 + 70 + 406 + 144 = 666.

It is a super-3 number, since 3×216234170406144³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216234170406144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4265958132 + ... + 4266008819.

It is an arithmetic number, because the mean of its divisors is an integer number (6297539606904).

Almost surely, 2^{216234170406144} is an apocalyptic number.

216234170406144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216234170406144 is an abundant number, since it is smaller than the sum of its proper divisors (463900107139488).

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

216234170406144 is a wasteful number, since it uses less digits than its factorization.

216234170406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531966984 (or 8531966967 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 216234170406144 in words is "two hundred sixteen trillion, two hundred thirty-four billion, one hundred seventy million, four hundred six thousand, one hundred forty-four".