221147081352 has 108 divisors (see below), whose sum is σ = 604491642495. Its totient is φ = 73038670848.

The previous prime is 221147081333. The next prime is 221147081413. The reversal of 221147081352 is 253180741122.

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.

221147081352 is a `hidden beast` number, since 221 + 1 + 4 + 7 + 0 + 81 + 352 = 666.

221147081352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 46762332516 + 174384748836 = 216246^2 + 417594^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332526.

It is a super-2 number, since 2×221147081352² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 626478808 + ... + 626479160.

Almost surely, 2^221147081352 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 221147081352

221147081352 is an abundant number, since it is smaller than the sum of its proper divisors (383344561143).

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

221147081352 is an equidigital number, since it uses as much as digits as its factorization.

221147081352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 221147081352 in words is "two hundred twenty-one billion, one hundred forty-seven million, eighty-one thousand, three hundred fifty-two".