216444626121024 has 1344 divisors, whose sum is σ = 774002135934720. Its totient is φ = 59083784847360.

The previous prime is 216444626121019. The next prime is 216444626121043. The reversal of 216444626121024 is 420121626444612.

216444626121024 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 4 + 4 + 6 + 2 + 612 + 1 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166880975544 + ... + 166880976840.

It is an arithmetic number, because the mean of its divisors is an integer number (575894446380).

Almost surely, 2^{216444626121024} is an apocalyptic number.

216444626121024 is a gapful number since it is divisible by the number (24) 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 216444626121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387001067967360).

216444626121024 is an abundant number, since it is smaller than the sum of its proper divisors (557557509813696).

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

216444626121024 is a wasteful number, since it uses less digits than its factorization.

216444626121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 216444626121024 in words is "two hundred sixteen trillion, four hundred forty-four billion, six hundred twenty-six million, one hundred twenty-one thousand, twenty-four".