221211344034144 has 72 divisors (see below), whose sum is σ = 642454222606560. Its totient is φ = 72168239893248.

The previous prime is 221211344034101. The next prime is 221211344034169. The reversal of 221211344034144 is 441430443112122.

221211344034144 is a `hidden beast` number, since 2 + 2 + 1 + 211 + 34 + 403 + 4 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 221211344034099 and 221211344034108.

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, 8171209279 + ... + 8171236350.

It is an arithmetic number, because the mean of its divisors is an integer number (8922975313980).

Almost surely, 2^{221211344034144} is an apocalyptic number.

221211344034144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221211344034144 is an abundant number, since it is smaller than the sum of its proper divisors (421242878572416).

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

221211344034144 is a wasteful number, since it uses less digits than its factorization.

221211344034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342445692 (or 16342445681 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 221211344034144 its reverse (441430443112122), we get a palindrome (662641787146266).

The spelling of 221211344034144 in words is "two hundred twenty-one trillion, two hundred eleven billion, three hundred forty-four million, thirty-four thousand, one hundred forty-four".