221234146056 has 384 divisors, whose sum is σ = 787435084800. Its totient is φ = 54363363840.

The previous prime is 221234146043. The next prime is 221234146061. The reversal of 221234146056 is 650641432122.

221234146056 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 3 + 41 + 4 + 605 + 6 = 666.

It is a super-2 number, since 2×221234146056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221234146056.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135145270 + ... + 135146906.

It is an arithmetic number, because the mean of its divisors is an integer number (2050612200).

Almost surely, 2^221234146056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221234146056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393717542400).

221234146056 is an abundant number, since it is smaller than the sum of its proper divisors (566200938744).

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

221234146056 is a wasteful number, since it uses less digits than its factorization.

221234146056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 221234146056 its reverse (650641432122), we get a palindrome (871875578178).

The spelling of 221234146056 in words is "two hundred twenty-one billion, two hundred thirty-four million, one hundred forty-six thousand, fifty-six".