221463759392 has 54 divisors (see below), whose sum is σ = 455913849573. Its totient is φ = 105888166912.

The previous prime is 221463759379. The next prime is 221463759431. The reversal of 221463759392 is 293957364122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 126306316816 + 95157442576 = 355396^2 + 308476^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332764.

It is a Duffinian number.

Its product of digits (4898880) is a multiple of the sum of its prime factors (7290).

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 8 ways as a sum of consecutive naturals, for example, 61226768 + ... + 61230384.

Almost surely, 2^221463759392 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 221463759392

221463759392 is an abundant number, since it is smaller than the sum of its proper divisors (234450090181).

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

221463759392 is an frugal number, since it uses more digits than its factorization.

221463759392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 3642 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 53.

The spelling of 221463759392 in words is "two hundred twenty-one billion, four hundred sixty-three million, seven hundred fifty-nine thousand, three hundred ninety-two".