221011431552 has 360 divisors, whose sum is σ = 697033981215. Its totient is φ = 69793083648.

The previous prime is 221011431547. The next prime is 221011431569. The reversal of 221011431552 is 255134110122.

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.

221011431552 is a `hidden beast` number, since 2 + 2 + 101 + 1 + 4 + 3 + 1 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110505715776 + 110505715776 = 332424^2 + 332424^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332424.

It is a super-2 number, since 2×221011431552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11632180599 + ... + 11632180617.

Almost surely, 2^221011431552 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 221011431552

221011431552 is an abundant number, since it is smaller than the sum of its proper divisors (476022549663).

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

221011431552 is an frugal number, since it uses more digits than its factorization.

221011431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 221011431552 its reverse (255134110122), we get a palindrome (476145541674).

The spelling of 221011431552 in words is "two hundred twenty-one billion, eleven million, four hundred thirty-one thousand, five hundred fifty-two".