216265273344 has 156 divisors (see below), whose sum is σ = 630766106256. Its totient is φ = 71387283456.

The previous prime is 216265273331. The next prime is 216265273361. The reversal of 216265273344 is 443372562612.

216265273344 is a `hidden beast` number, since 2 + 16 + 26 + 5 + 273 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216265273344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3768514 + ... + 3825470.

It is an arithmetic number, because the mean of its divisors is an integer number (4043372476).

Almost surely, 2^216265273344 is an apocalyptic number.

216265273344 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 216265273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315383053128).

216265273344 is an abundant number, since it is smaller than the sum of its proper divisors (414500832912).

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

216265273344 is a wasteful number, since it uses less digits than its factorization.

216265273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57090 (or 57065 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 216265273344 in words is "two hundred sixteen billion, two hundred sixty-five million, two hundred seventy-three thousand, three hundred forty-four".